Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162bd |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2102386330128 = 24 · 3 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3798,-57324] |
[a1,a2,a3,a4,a6] |
j |
128787625/44688 |
j-invariant |
L |
5.0032231069932 |
L(r)(E,1)/r! |
Ω |
0.62540288837416 |
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 |
121296ch1 45486h1 106134cc1 798a1 |
Quadratic twists by: -4 -3 -7 -19 |