Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dk |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-43953678742192128 = -1 · 228 · 32 · 72 · 135 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -3 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130209,-20750913] |
[a1,a2,a3,a4,a6] |
Generators |
[3589737:81431232:4913] |
Generators of the group modulo torsion |
j |
-19007021070457/3421836288 |
j-invariant |
L |
5.6127102778392 |
L(r)(E,1)/r! |
Ω |
0.12444462147701 |
Real period |
R |
11.275517979884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304fl1 3822i1 122304e1 |
Quadratic twists by: -4 8 -7 |