Atkin-Lehner |
2+ 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350s |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
248470664062500 = 22 · 34 · 510 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37151,-2652802] |
[a1,a2,a3,a4,a6] |
j |
362909557944289/15902122500 |
j-invariant |
L |
2.758501111827 |
L(r)(E,1)/r! |
Ω |
0.34481265275866 |
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 |
19470t1 |
Quadratic twists by: 5 |