Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24050r |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-10244915200 = -1 · 216 · 52 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -2 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1060,14407] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-59:1] |
Generators of the group modulo torsion |
j |
-5264015238585/409796608 |
j-invariant |
L |
8.0067220356128 |
L(r)(E,1)/r! |
Ω |
1.2616640942061 |
Real period |
R |
0.19831749572801 |
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 |
24050g1 |
Quadratic twists by: 5 |