Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658w |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8426880 |
Modular degree for the optimal curve |
Δ |
7.07670426855E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -6 1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11875241,9175768247] |
[a1,a2,a3,a4,a6] |
Generators |
[2963:2216:1] |
Generators of the group modulo torsion |
j |
29298155334152041/11194902450144 |
j-invariant |
L |
5.4122280709482 |
L(r)(E,1)/r! |
Ω |
0.099848684093221 |
Real period |
R |
2.7102150219397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806e1 |
Quadratic twists by: -43 |