Atkin-Lehner |
2- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
79184x |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1068424051294208 = -1 · 218 · 79 · 101 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-254424,49335572] |
[a1,a2,a3,a4,a6] |
Generators |
[214:2176:1] [268:-686:1] |
Generators of the group modulo torsion |
j |
-3779648905033/2217152 |
j-invariant |
L |
11.50327441124 |
L(r)(E,1)/r! |
Ω |
0.48545291021519 |
Real period |
R |
1.4809977148758 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9898b1 11312k1 |
Quadratic twists by: -4 -7 |