Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810bu |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
1311563249848320 = 212 · 3 · 5 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2779453,1783324568] |
[a1,a2,a3,a4,a6] |
Generators |
[127980:352604:125] |
Generators of the group modulo torsion |
j |
20184279492242626489/11148103680 |
j-invariant |
L |
5.6014580775648 |
L(r)(E,1)/r! |
Ω |
0.39669245025633 |
Real period |
R |
7.0602025245818 |
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 |
101430dz1 4830b1 |
Quadratic twists by: -3 -7 |