Atkin-Lehner |
3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13275ba |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-2268158203125 = -1 · 39 · 59 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- -5 -2 5 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1096430,442169322] |
[a1,a2,a3,a4,a6] |
Generators |
[644:1365:1] |
Generators of the group modulo torsion |
j |
-102378438997541/1593 |
j-invariant |
L |
2.0182339646886 |
L(r)(E,1)/r! |
Ω |
0.58436638010243 |
Real period |
R |
0.43171416798799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4425e1 13275w1 |
Quadratic twists by: -3 5 |