Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800c |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-420556800 = -1 · 212 · 3 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 2 -3 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,1077] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:37:1] |
Generators of the group modulo torsion |
j |
-878080/4107 |
j-invariant |
L |
6.1124404807011 |
L(r)(E,1)/r! |
Ω |
1.4582816012126 |
Real period |
R |
1.0478841127032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800bz1 88800co1 |
Quadratic twists by: -4 5 |