Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121104z |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6681600 |
Modular degree for the optimal curve |
Δ |
5.4446377769043E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 -5 0 -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5633859,-5023109662] |
[a1,a2,a3,a4,a6] |
Generators |
[2749:16236:1] |
Generators of the group modulo torsion |
j |
26478914/729 |
j-invariant |
L |
4.7195052687502 |
L(r)(E,1)/r! |
Ω |
0.098158588414291 |
Real period |
R |
6.0100513166888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60552l1 40368j1 121104o1 |
Quadratic twists by: -4 -3 29 |