Atkin-Lehner |
2- 3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648t |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7999488 |
Modular degree for the optimal curve |
Δ |
8.5802235473091E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -6 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34080939,-76578717222] |
[a1,a2,a3,a4,a6] |
j |
54300912478267192011/1064259076096 |
j-invariant |
L |
1.9995026474188 |
L(r)(E,1)/r! |
Ω |
0.062484482511854 |
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 |
14706m1 117648w1 |
Quadratic twists by: -4 -3 |