Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810m |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
81463555891200000 = 216 · 3 · 55 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10789923,-13646414067] |
[a1,a2,a3,a4,a6] |
Generators |
[21243888191:-4965880825791:389017] |
Generators of the group modulo torsion |
j |
1180838681727016392361/692428800000 |
j-invariant |
L |
2.9283466549248 |
L(r)(E,1)/r! |
Ω |
0.083299995578805 |
Real period |
R |
17.577111706774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430ey1 4830q1 |
Quadratic twists by: -3 -7 |