Atkin-Lehner |
2+ 3+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350k |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10264320 |
Modular degree for the optimal curve |
Δ |
1.7408045010937E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 3 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36732375,83288503125] |
[a1,a2,a3,a4,a6] |
Generators |
[169300:4274725:64] |
Generators of the group modulo torsion |
j |
350792849898814825511281/11141148807000000000 |
j-invariant |
L |
4.1345059300199 |
L(r)(E,1)/r! |
Ω |
0.10105000263209 |
Real period |
R |
3.4096205030588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670bb1 |
Quadratic twists by: 5 |