Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24816s |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-10720512 = -1 · 28 · 34 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11+ -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52,-232] |
[a1,a2,a3,a4,a6] |
j |
-61918288/41877 |
j-invariant |
L |
3.4462402682387 |
L(r)(E,1)/r! |
Ω |
0.86156006705964 |
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 |
6204c1 99264bp1 74448bn1 |
Quadratic twists by: -4 8 -3 |