Atkin-Lehner |
2+ 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92414i |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
2942521183033726 = 2 · 79 · 232 · 413 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 0 0 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59904,-5008440] |
[a1,a2,a3,a4,a6] |
Generators |
[7452:639227:1] |
Generators of the group modulo torsion |
j |
589112717887/72918418 |
j-invariant |
L |
5.4736800060614 |
L(r)(E,1)/r! |
Ω |
0.30764452588053 |
Real period |
R |
4.4480557473834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92414m1 |
Quadratic twists by: -7 |