Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912j |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
8404541932889088 = 210 · 38 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -6 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184256,-30059952] |
[a1,a2,a3,a4,a6] |
j |
5742523604164/69763113 |
j-invariant |
L |
3.6896312471686 |
L(r)(E,1)/r! |
Ω |
0.23060194888574 |
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 |
36456q1 10416n1 |
Quadratic twists by: -4 -7 |