Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430ed |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
401408 |
Modular degree for the optimal curve |
Δ |
608948035712100 = 22 · 38 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23603,739631] |
[a1,a2,a3,a4,a6] |
Generators |
[-610:11871:8] |
Generators of the group modulo torsion |
j |
49430863/20700 |
j-invariant |
L |
10.967931970976 |
L(r)(E,1)/r! |
Ω |
0.46546533142718 |
Real period |
R |
5.8908425706815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810bl1 101430fd1 |
Quadratic twists by: -3 -7 |