Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350o |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10450944 |
Modular degree for the optimal curve |
Δ |
-1.2996838304166E+25 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,44900389,129134392678] |
[a1,a2,a3,a4,a6] |
Generators |
[375672854:-2574550531153:8] |
Generators of the group modulo torsion |
j |
3403656999841015798655/4418852112356605952 |
j-invariant |
L |
5.6297915623684 |
L(r)(E,1)/r! |
Ω |
0.047698361282072 |
Real period |
R |
14.753629399016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350bx1 8050f1 |
Quadratic twists by: 5 -7 |