Atkin-Lehner |
3- 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86583ba |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
-52830608859 = -1 · 310 · 72 · 19 · 312 |
Discriminant |
Eigenvalues |
0 3- 3 7- -4 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,271,11015] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1255:1] |
Generators of the group modulo torsion |
j |
44754010112/1078175691 |
j-invariant |
L |
8.7853270167032 |
L(r)(E,1)/r! |
Ω |
0.84145461355073 |
Real period |
R |
0.52203213826148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86583a1 |
Quadratic twists by: -7 |