Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18850t |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-28425800 = -1 · 23 · 52 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -3 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7,257] |
[a1,a2,a3,a4,a6] |
Generators |
[8:25:1] |
Generators of the group modulo torsion |
j |
1503815/1137032 |
j-invariant |
L |
9.2205607304357 |
L(r)(E,1)/r! |
Ω |
1.6392478267492 |
Real period |
R |
0.46873941104647 |
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 |
18850h1 |
Quadratic twists by: 5 |