Atkin-Lehner |
2- 11- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123728s |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1790976 |
Modular degree for the optimal curve |
Δ |
-26401726005248 = -1 · 223 · 112 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 1 0 -3 11- -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4649688,-3860630764] |
[a1,a2,a3,a4,a6] |
j |
-2714159051572998849625/6445733888 |
j-invariant |
L |
0.41124756353011 |
L(r)(E,1)/r! |
Ω |
0.051405974697925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15466a1 |
Quadratic twists by: -4 |