Atkin-Lehner |
2- 7+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022i |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12697254453776102 = 2 · 73 · 298 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-150106,21755395] |
[a1,a2,a3,a4,a6] |
j |
374037508973661724017/12697254453776102 |
j-invariant |
L |
0.7941628183972 |
L(r)(E,1)/r! |
Ω |
0.3970814091986 |
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 |
120176ba3 105154q3 |
Quadratic twists by: -4 -7 |