Atkin-Lehner |
2+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59878s |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
125440 |
Modular degree for the optimal curve |
Δ |
-1282114801604 = -1 · 22 · 79 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 1 3 7- -5 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1937,-63752] |
[a1,a2,a3,a4,a6] |
j |
-19902511/31772 |
j-invariant |
L |
2.7270197055017 |
L(r)(E,1)/r! |
Ω |
0.34087746357749 |
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 |
59878d1 |
Quadratic twists by: -7 |