Atkin-Lehner |
2- 7+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022h |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
11322740445184 = 212 · 74 · 292 · 372 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22941,-1321819] |
[a1,a2,a3,a4,a6] |
j |
1335189778582508577/11322740445184 |
j-invariant |
L |
2.3287419636283 |
L(r)(E,1)/r! |
Ω |
0.38812366060472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120176z2 105154p2 |
Quadratic twists by: -4 -7 |