Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715y |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-456711026784075 = -1 · 39 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -3 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9408,1086538] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-858:1] [-238:9257:8] |
Generators of the group modulo torsion |
j |
-1073741824/5325075 |
j-invariant |
L |
7.7261688451488 |
L(r)(E,1)/r! |
Ω |
0.45728252252963 |
Real period |
R |
1.0559895229554 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905j1 7245u1 |
Quadratic twists by: -3 -7 |