Atkin-Lehner |
7- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
86681c |
Isogeny class |
Conductor |
86681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2451456 |
Modular degree for the optimal curve |
Δ |
4180193126350075387 = 713 · 294 · 61 |
Discriminant |
Eigenvalues |
1 -3 0 7- 5 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-586882,142520629] |
[a1,a2,a3,a4,a6] |
Generators |
[156:7321:1] |
Generators of the group modulo torsion |
j |
190015162442267625/35531055311563 |
j-invariant |
L |
4.2959413005423 |
L(r)(E,1)/r! |
Ω |
0.23427829104063 |
Real period |
R |
4.5842289680582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999698315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12383b1 |
Quadratic twists by: -7 |