Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
111630bc |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-90368217907200 = -1 · 216 · 35 · 52 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2515,-454575] |
[a1,a2,a3,a4,a6] |
Generators |
[130:-1505:1] |
Generators of the group modulo torsion |
j |
7750636739/398131200 |
j-invariant |
L |
11.431461674358 |
L(r)(E,1)/r! |
Ω |
0.28875213645695 |
Real period |
R |
0.49486480959384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111630o1 |
Quadratic twists by: 61 |