Atkin-Lehner |
2- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92720t |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
38793955280 = 24 · 5 · 194 · 612 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6081,184316] |
[a1,a2,a3,a4,a6] |
Generators |
[10:3363:8] |
Generators of the group modulo torsion |
j |
1554533752520704/2424622205 |
j-invariant |
L |
7.7450532854888 |
L(r)(E,1)/r! |
Ω |
1.1505014398278 |
Real period |
R |
3.3659467993524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23180b1 |
Quadratic twists by: -4 |