Atkin-Lehner |
7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18473a |
Isogeny class |
Conductor |
18473 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
44353673 = 76 · 13 · 29 |
Discriminant |
Eigenvalues |
1 0 2 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-401,-2976] |
[a1,a2,a3,a4,a6] |
Generators |
[2235780:2415662:91125] |
Generators of the group modulo torsion |
j |
60698457/377 |
j-invariant |
L |
5.9719116251319 |
L(r)(E,1)/r! |
Ω |
1.0671493188383 |
Real period |
R |
11.192269947064 |
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 |
377a1 |
Quadratic twists by: -7 |