Atkin-Lehner |
2- 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330p |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40420898437500 = 22 · 34 · 512 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13831,-552031] |
[a1,a2,a3,a4,a6] |
j |
292608150174064369/40420898437500 |
j-invariant |
L |
3.5541808955047 |
L(r)(E,1)/r! |
Ω |
0.44427261193809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122640cl3 45990y3 76650bi3 107310dr3 |
Quadratic twists by: -4 -3 5 -7 |