Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248k |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
1665765035016192 = 216 · 33 · 113 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11+ 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38945,-2199519] |
[a1,a2,a3,a4,a6] |
j |
99680465505316/25417557297 |
j-invariant |
L |
1.3849489867998 |
L(r)(E,1)/r! |
Ω |
0.34623724676806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248cp1 7656i1 |
Quadratic twists by: -4 8 |