Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3762h |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
50549723136 = 212 · 310 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3366,-73548] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2358:1] |
Generators of the group modulo torsion |
j |
5786435182177/69341184 |
j-invariant |
L |
2.7001652212411 |
L(r)(E,1)/r! |
Ω |
0.62723406169921 |
Real period |
R |
4.3048765781727 |
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 |
30096bb1 120384bc1 1254i1 94050dd1 |
Quadratic twists by: -4 8 -3 5 |