Atkin-Lehner |
2- 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
122412c |
Isogeny class |
Conductor |
122412 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
915552 |
Modular degree for the optimal curve |
Δ |
4719100891122432 = 28 · 311 · 1014 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 7 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44204,-1383180] |
[a1,a2,a3,a4,a6] |
j |
358585552/177147 |
j-invariant |
L |
3.8098378237916 |
L(r)(E,1)/r! |
Ω |
0.34634893648001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122412b1 |
Quadratic twists by: 101 |