Atkin-Lehner |
2- 3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bp |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
948003823872 = 28 · 310 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2480,-7405] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:169:1] |
Generators of the group modulo torsion |
j |
2313060765625/1300416768 |
j-invariant |
L |
8.8392961025861 |
L(r)(E,1)/r! |
Ω |
0.72791467484958 |
Real period |
R |
0.75895709411195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134v1 |
Quadratic twists by: -3 |