Atkin-Lehner |
5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
97175j |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
59645406745234375 = 57 · 137 · 233 |
Discriminant |
Eigenvalues |
-1 -1 5+ -1 -2 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4651813,3859770156] |
[a1,a2,a3,a4,a6] |
Generators |
[1250:-338:1] [330:48422:1] |
Generators of the group modulo torsion |
j |
147608144916049/790855 |
j-invariant |
L |
5.2947516113018 |
L(r)(E,1)/r! |
Ω |
0.31159364291922 |
Real period |
R |
0.70802038332637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19435c1 7475d1 |
Quadratic twists by: 5 13 |