Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828k |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2545920 |
Modular degree for the optimal curve |
Δ |
-3.7488533249462E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 11- 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-349293,2947015593] |
[a1,a2,a3,a4,a6] |
j |
-34801580274688000/27682340832837603 |
j-invariant |
L |
0.90429900670372 |
L(r)(E,1)/r! |
Ω |
0.11303737632031 |
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 |
69828b1 |
Quadratic twists by: -23 |