Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640cy |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-15202610301132800 = -1 · 213 · 52 · 7 · 139 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17520,-5870528] |
[a1,a2,a3,a4,a6] |
Generators |
[672:17576:1] [304:5240:1] |
Generators of the group modulo torsion |
j |
30080231/768950 |
j-invariant |
L |
10.073350433573 |
L(r)(E,1)/r! |
Ω |
0.19047189580384 |
Real period |
R |
1.6526963189019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830w1 7280m1 |
Quadratic twists by: -4 13 |