Atkin-Lehner |
2+ 3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330ba |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55552000 |
Modular degree for the optimal curve |
Δ |
-1.5205792026967E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19327343409,-1034201216019555] |
[a1,a2,a3,a4,a6] |
Generators |
[502626930722032800724846958148990993505726286923286412123960984552200202680080211544010132252817978260918205307128006820180778737:-261912190011299487539147117756543327188274085442129585031142779756784135215363461762323683447715936289715902498375538614547683056724:1489781470372338726480763554001158831015977560900626146507391433969393798062487561979046262024220179388161932577232108139243] |
Generators of the group modulo torsion |
j |
-1095248516670909925403006195052049/2085842527704615412039680 |
j-invariant |
L |
5.1333121047635 |
L(r)(E,1)/r! |
Ω |
0.0064021591880995 |
Real period |
R |
200.45237684442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110bh1 |
Quadratic twists by: -3 |