Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200de |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
2921811200000000 = 214 · 58 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125333,16921037] |
[a1,a2,a3,a4,a6] |
Generators |
[23180:18459:125] |
Generators of the group modulo torsion |
j |
34020720640/456533 |
j-invariant |
L |
9.4007879337512 |
L(r)(E,1)/r! |
Ω |
0.45301529642869 |
Real period |
R |
6.9171968431223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200hf1 7700l1 123200i1 |
Quadratic twists by: -4 8 5 |