Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40432d |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-5175296 = -1 · 211 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ -2 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,114] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] [-2:12:1] |
Generators of the group modulo torsion |
j |
-1026/7 |
j-invariant |
L |
7.1103287149487 |
L(r)(E,1)/r! |
Ω |
2.0836432156248 |
Real period |
R |
0.8531125508472 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20216e1 40432a1 |
Quadratic twists by: -4 -19 |