Atkin-Lehner |
2+ 3- 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950bd |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1632960 |
Modular degree for the optimal curve |
Δ |
-15934066200000000 = -1 · 29 · 33 · 58 · 13 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-111326,15524048] |
[a1,a2,a3,a4,a6] |
Generators |
[13052:1484136:1] |
Generators of the group modulo torsion |
j |
-390614071578745/40791209472 |
j-invariant |
L |
8.4083965295041 |
L(r)(E,1)/r! |
Ω |
0.38210755660636 |
Real period |
R |
7.3351043686601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126326 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
118950bf1 |
Quadratic twists by: 5 |