Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600cm |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
466948881000000 = 26 · 34 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27358,1388288] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:1176:1] |
Generators of the group modulo torsion |
j |
19248832/3969 |
j-invariant |
L |
9.8395394260045 |
L(r)(E,1)/r! |
Ω |
0.49796126452192 |
Real period |
R |
2.4699560205268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004029 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600l1 4704v1 16800a1 |
Quadratic twists by: -4 5 -7 |