Atkin-Lehner |
3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1815b |
Isogeny class |
Conductor |
1815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
99825 = 3 · 52 · 113 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14,-13] |
[a1,a2,a3,a4,a6] |
j |
205379/75 |
j-invariant |
L |
2.5658301426449 |
L(r)(E,1)/r! |
Ω |
2.5658301426449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29040bv1 116160bh1 5445j1 9075d1 |
Quadratic twists by: -4 8 -3 5 |