Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450u |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23708160 |
Modular degree for the optimal curve |
Δ |
1.3016922281368E+23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -2 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23707042,-40891467884] |
[a1,a2,a3,a4,a6] |
Generators |
[-63717785:1413133784:24389] |
Generators of the group modulo torsion |
j |
801581275315909089/70810888830976 |
j-invariant |
L |
2.6070906462182 |
L(r)(E,1)/r! |
Ω |
0.068805455149675 |
Real period |
R |
9.4726886476237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018s1 14350b1 |
Quadratic twists by: 5 -7 |