Atkin-Lehner |
2- 3- 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37758w |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
432114936624 = 24 · 36 · 72 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6335,190953] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:637:1] |
Generators of the group modulo torsion |
j |
28116927072163441/432114936624 |
j-invariant |
L |
11.381027733724 |
L(r)(E,1)/r! |
Ω |
0.94384172003407 |
Real period |
R |
0.083737466928959 |
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 |
113274s1 |
Quadratic twists by: -3 |