Atkin-Lehner |
2- 3- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63984bb |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-32759808 = -1 · 213 · 3 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -2 1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23520,-1396236] |
[a1,a2,a3,a4,a6] |
j |
-351312967968481/7998 |
j-invariant |
L |
0.77102538918519 |
L(r)(E,1)/r! |
Ω |
0.1927563483823 |
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 |
7998f1 |
Quadratic twists by: -4 |