Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330u |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
122640 = 24 · 3 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-161,719] |
[a1,a2,a3,a4,a6] |
j |
461710681489/122640 |
j-invariant |
L |
3.2296882042925 |
L(r)(E,1)/r! |
Ω |
3.2296882042925 |
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 |
122640ce1 45990bf1 76650ba1 107310dl1 |
Quadratic twists by: -4 -3 5 -7 |