Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280bd |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-839666106368000 = -1 · 234 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3 5- -2 -1 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5333,1386074] |
[a1,a2,a3,a4,a6] |
j |
4095232047999/204996608000 |
j-invariant |
L |
4.5669610177451 |
L(r)(E,1)/r! |
Ω |
0.38058008481203 |
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 |
3910p1 125120by1 |
Quadratic twists by: -4 8 |