Atkin-Lehner |
5- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525p |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
183723619625 = 53 · 76 · 13 · 312 |
Discriminant |
Eigenvalues |
-1 2 5- 7+ 2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1873,-24194] |
[a1,a2,a3,a4,a6] |
j |
5813551487141/1469788957 |
j-invariant |
L |
1.4784155659309 |
L(r)(E,1)/r! |
Ω |
0.73920778547534 |
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 |
70525z1 |
Quadratic twists by: 5 |