Atkin-Lehner |
2+ 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550f |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
50544 |
Modular degree for the optimal curve |
Δ |
-39145267200 = -1 · 213 · 3 · 52 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -1 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-415,-10235] |
[a1,a2,a3,a4,a6] |
j |
-317367253345/1565810688 |
j-invariant |
L |
1.432903149676 |
L(r)(E,1)/r! |
Ω |
0.47763438332363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56550cc1 |
Quadratic twists by: 5 |