Atkin-Lehner |
2- 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928z |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-2851272211089862656 = -1 · 212 · 312 · 195 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -1 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203232,88564912] |
[a1,a2,a3,a4,a6] |
j |
-310894120566784/954885294459 |
j-invariant |
L |
0.89477581884821 |
L(r)(E,1)/r! |
Ω |
0.22369395450855 |
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 |
3933c1 20976g1 |
Quadratic twists by: -4 -3 |