Atkin-Lehner |
2+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36704a |
Isogeny class |
Conductor |
36704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
139961454592 = 212 · 314 · 37 |
Discriminant |
Eigenvalues |
2+ 1 0 3 -1 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2093,-32869] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:20:1] |
Generators of the group modulo torsion |
j |
247673152000/34170277 |
j-invariant |
L |
7.0076572222801 |
L(r)(E,1)/r! |
Ω |
0.71227541200021 |
Real period |
R |
2.459602389826 |
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 |
36704c1 73408ba1 |
Quadratic twists by: -4 8 |