Atkin-Lehner |
2- 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992v |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-128071839744 = -1 · 212 · 37 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -3 7 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2496,50992] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:261:1] |
Generators of the group modulo torsion |
j |
-575930368/42891 |
j-invariant |
L |
7.8611635572967 |
L(r)(E,1)/r! |
Ω |
1.023109169007 |
Real period |
R |
0.96045023775401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4437d1 23664r1 |
Quadratic twists by: -4 -3 |