Atkin-Lehner |
3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64239k |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-112341300007806891 = -1 · 36 · 76 · 195 · 232 |
Discriminant |
Eigenvalues |
0 3- 1 7- -1 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-69155,-17602777] |
[a1,a2,a3,a4,a6] |
j |
-310894120566784/954885294459 |
j-invariant |
L |
1.6311664740147 |
L(r)(E,1)/r! |
Ω |
0.13593053972584 |
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 |
1311b1 |
Quadratic twists by: -7 |