Atkin-Lehner |
2- 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bo |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24772608 |
Modular degree for the optimal curve |
Δ |
1.8329676917617E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-354294338,2566658302031] |
[a1,a2,a3,a4,a6] |
j |
314772165543511714548281689/1173099322727481600 |
j-invariant |
L |
1.7197800393024 |
L(r)(E,1)/r! |
Ω |
0.10748626492732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470j1 |
Quadratic twists by: 5 |