Atkin-Lehner |
2+ 7+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15106a |
Isogeny class |
Conductor |
15106 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-378979328 = -1 · 210 · 73 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 4 13- -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-350,2548] |
[a1,a2,a3,a4,a6] |
Generators |
[12:10:1] |
Generators of the group modulo torsion |
j |
-4762831515625/378979328 |
j-invariant |
L |
2.7439487004663 |
L(r)(E,1)/r! |
Ω |
1.6598652484189 |
Real period |
R |
0.82655766878667 |
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 |
120848i1 105742a1 |
Quadratic twists by: -4 -7 |