Atkin-Lehner |
2- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87514z |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
329280 |
Modular degree for the optimal curve |
Δ |
258304406893568 = 210 · 710 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19258,-686393] |
[a1,a2,a3,a4,a6] |
Generators |
[169:875:1] |
Generators of the group modulo torsion |
j |
2796264625/914432 |
j-invariant |
L |
15.639193797531 |
L(r)(E,1)/r! |
Ω |
0.41584468885757 |
Real period |
R |
3.7608256662651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87514i1 |
Quadratic twists by: -7 |