Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600a |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-103723200 = -1 · 26 · 33 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,82,372] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] |
Generators of the group modulo torsion |
j |
15680/27 |
j-invariant |
L |
6.3141664622498 |
L(r)(E,1)/r! |
Ω |
1.291963915027 |
Real period |
R |
0.81454370167662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600ge1 117600hj1 117600cl1 |
Quadratic twists by: -4 5 -7 |