Atkin-Lehner |
37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68413c |
Isogeny class |
Conductor |
68413 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
162288 |
Modular degree for the optimal curve |
Δ |
233890432813 = 37 · 436 |
Discriminant |
Eigenvalues |
2 3 2 1 -5 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1849,-19877] |
[a1,a2,a3,a4,a6] |
Generators |
[-2912138606520:10055956389409:102503232000] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
25.275116443734 |
L(r)(E,1)/r! |
Ω |
0.74766675216303 |
Real period |
R |
16.902661761147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37a1 |
Quadratic twists by: -43 |