Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ck |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
3719761920000000 = 218 · 33 · 57 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39755,-825253] |
[a1,a2,a3,a4,a6] |
Generators |
[379:-6390:1] |
Generators of the group modulo torsion |
j |
16470430613307/8817213440 |
j-invariant |
L |
8.7834485528849 |
L(r)(E,1)/r! |
Ω |
0.35961013618357 |
Real period |
R |
0.67846997971336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650d1 19530d1 |
Quadratic twists by: -3 5 |