Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
19488c |
Isogeny class |
Conductor |
19488 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
-25256448 = -1 · 29 · 35 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -3 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56,200] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] |
Generators of the group modulo torsion |
j |
37259704/49329 |
j-invariant |
L |
4.8572058882052 |
L(r)(E,1)/r! |
Ω |
1.4290817058758 |
Real period |
R |
0.33988300796478 |
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 |
19488e1 38976b1 58464w1 |
Quadratic twists by: -4 8 -3 |