Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330a |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-778813056000 = -1 · 210 · 35 · 53 · 73 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82523,9090333] |
[a1,a2,a3,a4,a6] |
Generators |
[166:-67:1] |
Generators of the group modulo torsion |
j |
-62152264723374149689/778813056000 |
j-invariant |
L |
2.244672804034 |
L(r)(E,1)/r! |
Ω |
0.81569756086026 |
Real period |
R |
1.3759222239593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122640ci1 45990cd1 76650cx1 107310bu1 |
Quadratic twists by: -4 -3 5 -7 |