Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430ex |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
1.440323353899E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13226702,3069212829] |
[a1,a2,a3,a4,a6] |
Generators |
[-2941:130017:1] |
Generators of the group modulo torsion |
j |
8698983351369247/4896098136000 |
j-invariant |
L |
11.487040413635 |
L(r)(E,1)/r! |
Ω |
0.08904419138086 |
Real period |
R |
1.7917196551574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810j1 101430dw1 |
Quadratic twists by: -3 -7 |