Atkin-Lehner |
2- 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998l |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
48382208 = 28 · 73 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 0 4 7- 6 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118,389] |
[a1,a2,a3,a4,a6] |
j |
525557943/141056 |
j-invariant |
L |
7.5081695520477 |
L(r)(E,1)/r! |
Ω |
1.8770423882497 |
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 |
53998s1 |
Quadratic twists by: -7 |