Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632j |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
990720 |
Modular degree for the optimal curve |
Δ |
-11917641085833392 = -1 · 24 · 79 · 13 · 175 |
Discriminant |
Eigenvalues |
2+ 3 2 7- -5 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3626,5251673] |
[a1,a2,a3,a4,a6] |
Generators |
[74424:21282841:9261] |
Generators of the group modulo torsion |
j |
2800908288/6331142363 |
j-invariant |
L |
14.324462903415 |
L(r)(E,1)/r! |
Ω |
0.31513201723618 |
Real period |
R |
11.363858734503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376e1 |
Quadratic twists by: -7 |