Atkin-Lehner |
3- 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51471g |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-85788620127 = -1 · 37 · 7 · 194 · 43 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-914,17880] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2448:1] |
Generators of the group modulo torsion |
j |
-115714886617/117679863 |
j-invariant |
L |
4.1134002180315 |
L(r)(E,1)/r! |
Ω |
0.98073329990221 |
Real period |
R |
4.1942087808227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998454 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17157a1 |
Quadratic twists by: -3 |