Atkin-Lehner |
2+ 5- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950o |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-60482420000 = -1 · 25 · 54 · 372 · 472 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -5 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-592,13216] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:118:1] [-218:849:8] |
Generators of the group modulo torsion |
j |
-36746958825/96771872 |
j-invariant |
L |
4.6403270646881 |
L(r)(E,1)/r! |
Ω |
0.97964789080568 |
Real period |
R |
0.39472745838884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950p1 |
Quadratic twists by: 5 |