Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15190bh |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-47089000 = -1 · 23 · 53 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -5 -1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-202,1201] |
[a1,a2,a3,a4,a6] |
Generators |
[31:139:1] |
Generators of the group modulo torsion |
j |
-18516742209/961000 |
j-invariant |
L |
7.1751834761576 |
L(r)(E,1)/r! |
Ω |
1.9908263434806 |
Real period |
R |
0.20022906846514 |
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 |
121520ch1 75950v1 15190u1 |
Quadratic twists by: -4 5 -7 |