Atkin-Lehner |
2+ 7+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62776a |
Isogeny class |
Conductor |
62776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
-305342464 = -1 · 211 · 7 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ 2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-936,11372] |
[a1,a2,a3,a4,a6] |
j |
-44328722258/149093 |
j-invariant |
L |
3.4621818103771 |
L(r)(E,1)/r! |
Ω |
1.7310909082239 |
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 |
125552b1 |
Quadratic twists by: -4 |