Atkin-Lehner |
2+ 11- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15466c |
Isogeny class |
Conductor |
15466 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2960 |
Modular degree for the optimal curve |
Δ |
-587708 = -1 · 22 · 11 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -4 2 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4,-36] |
[a1,a2,a3,a4,a6] |
j |
-8120601/587708 |
j-invariant |
L |
1.2795220825653 |
L(r)(E,1)/r! |
Ω |
1.2795220825653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123728i1 |
Quadratic twists by: -4 |