Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600dk |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
9.016121266128E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -5 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10260000,-12566610000] |
[a1,a2,a3,a4,a6] |
j |
3792752640000/28629151 |
j-invariant |
L |
2.5318123927493 |
L(r)(E,1)/r! |
Ω |
0.084393763484286 |
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 |
6975c1 111600dj1 111600cw1 |
Quadratic twists by: -4 -3 5 |