Atkin-Lehner |
3+ 5+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31395b |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
124144463625 = 3 · 53 · 7 · 132 · 234 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9418,-355337] |
[a1,a2,a3,a4,a6] |
j |
92399967909580969/124144463625 |
j-invariant |
L |
1.9386477705131 |
L(r)(E,1)/r! |
Ω |
0.48466194262796 |
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 |
94185x1 |
Quadratic twists by: -3 |