Atkin-Lehner |
2- 3- 5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510bc |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
-4.6901999891161E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1443812,-744259489] |
[a1,a2,a3,a4,a6] |
j |
-456591521730402711289/64337448410371800 |
j-invariant |
L |
7.3796111714949 |
L(r)(E,1)/r! |
Ω |
0.068329733407764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34170e1 |
Quadratic twists by: -3 |