Atkin-Lehner |
2- 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94248v |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
675112938192 = 24 · 38 · 7 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2946,-47171] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:117:1] [-18:5:1] |
Generators of the group modulo torsion |
j |
242423339008/57880053 |
j-invariant |
L |
9.621310065024 |
L(r)(E,1)/r! |
Ω |
0.65924876765875 |
Real period |
R |
7.297177133612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416f1 |
Quadratic twists by: -3 |