Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
5150o |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
14256 |
Modular degree for the optimal curve |
Δ |
-35597896908800 = -1 · 227 · 52 · 1032 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 1 -6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2692,283101] |
[a1,a2,a3,a4,a6] |
Generators |
[61:793:1] |
Generators of the group modulo torsion |
j |
86297613760535/1423915876352 |
j-invariant |
L |
4.8606985419895 |
L(r)(E,1)/r! |
Ω |
0.48511905279062 |
Real period |
R |
0.1855481359575 |
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 |
41200ba1 46350r1 5150e1 |
Quadratic twists by: -4 -3 5 |