Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
5150n |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-164800 = -1 · 26 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -6 3 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25,57] |
[a1,a2,a3,a4,a6] |
Generators |
[3:0:1] |
Generators of the group modulo torsion |
j |
-66560265/6592 |
j-invariant |
L |
5.6878008804916 |
L(r)(E,1)/r! |
Ω |
3.1488885612791 |
Real period |
R |
0.30104806663282 |
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 |
41200z1 46350w1 5150d1 |
Quadratic twists by: -4 -3 5 |