Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440w |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
-1196764259790355200 = -1 · 28 · 37 · 52 · 77 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5513268,4982943908] |
[a1,a2,a3,a4,a6] |
Generators |
[-2711:2205:1] [36318:23030:27] |
Generators of the group modulo torsion |
j |
-99307838810543635456/6412702866675 |
j-invariant |
L |
11.580571914626 |
L(r)(E,1)/r! |
Ω |
0.25960203268019 |
Real period |
R |
0.13276470711645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39480v1 |
Quadratic twists by: -3 |