Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550bx |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-124605468750 = -1 · 2 · 3 · 59 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 1 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,687,-15219] |
[a1,a2,a3,a4,a6] |
Generators |
[270:1611:8] |
Generators of the group modulo torsion |
j |
2294744759/7974750 |
j-invariant |
L |
7.881964763513 |
L(r)(E,1)/r! |
Ω |
0.53216055349948 |
Real period |
R |
2.4685422195995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650bm1 6510i1 |
Quadratic twists by: -3 5 |