Atkin-Lehner |
2+ 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120888b |
Isogeny class |
Conductor |
120888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
58751568 = 24 · 37 · 23 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15114,-715183] |
[a1,a2,a3,a4,a6] |
j |
32735159007232/5037 |
j-invariant |
L |
3.4446463321366 |
L(r)(E,1)/r! |
Ω |
0.43058084351927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296i1 |
Quadratic twists by: -3 |