Atkin-Lehner |
3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18513j |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
120716270929479753 = 311 · 119 · 172 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 11+ 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128525,5955788] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:4168:1] |
Generators of the group modulo torsion |
j |
136590875/70227 |
j-invariant |
L |
2.7004615551275 |
L(r)(E,1)/r! |
Ω |
0.29196765095827 |
Real period |
R |
4.6245903377726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6171b1 18513h1 |
Quadratic twists by: -3 -11 |