Atkin-Lehner |
5- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525ba |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
83200 |
Modular degree for the optimal curve |
Δ |
-501388671875 = -1 · 59 · 72 · 132 · 31 |
Discriminant |
Eigenvalues |
2 1 5- 7- -2 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1542,25369] |
[a1,a2,a3,a4,a6] |
j |
207474688/256711 |
j-invariant |
L |
4.9876033206001 |
L(r)(E,1)/r! |
Ω |
0.62345041330981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525q1 |
Quadratic twists by: 5 |