Atkin-Lehner |
3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
92697b |
Isogeny class |
Conductor |
92697 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-252652152186027 = -1 · 37 · 114 · 534 |
Discriminant |
Eigenvalues |
-1 3+ 2 -1 11- -2 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32362,-2381182] |
[a1,a2,a3,a4,a6] |
Generators |
[216:766:1] |
Generators of the group modulo torsion |
j |
-475036666993/32019867 |
j-invariant |
L |
2.8250549395489 |
L(r)(E,1)/r! |
Ω |
0.17728610769544 |
Real period |
R |
1.3279170490446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92697d1 |
Quadratic twists by: 53 |