Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dg |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
7296076265625000000 = 26 · 34 · 512 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6431658,-6278961312] |
[a1,a2,a3,a4,a6] |
Generators |
[-6779615166:-4654681500:4657463] |
Generators of the group modulo torsion |
j |
250094631024064/62015625 |
j-invariant |
L |
7.9693072504806 |
L(r)(E,1)/r! |
Ω |
0.094803697486781 |
Real period |
R |
10.507642957434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020824 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600fd1 23520bh1 16800f1 |
Quadratic twists by: -4 5 -7 |