Atkin-Lehner |
3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18513i |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-4767078987 = -1 · 36 · 113 · 173 |
Discriminant |
Eigenvalues |
0 3- 0 -3 11+ 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,330,-2390] |
[a1,a2,a3,a4,a6] |
Generators |
[88:841:1] |
Generators of the group modulo torsion |
j |
4096000/4913 |
j-invariant |
L |
3.5050790028477 |
L(r)(E,1)/r! |
Ω |
0.73594438918007 |
Real period |
R |
0.3968912885244 |
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 |
2057a1 18513g1 |
Quadratic twists by: -3 -11 |