Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5425g |
Isogeny class |
Conductor |
5425 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-265825 = -1 · 52 · 73 · 31 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -4 -3 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18,37] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-5:1] |
Generators of the group modulo torsion |
j |
-25888585/10633 |
j-invariant |
L |
1.4437232016015 |
L(r)(E,1)/r! |
Ω |
2.9082005824741 |
Real period |
R |
0.16547726112863 |
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 |
86800ba1 48825bj1 5425j1 37975c1 |
Quadratic twists by: -4 -3 5 -7 |