Atkin-Lehner |
2- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650x |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-80773120000000000 = -1 · 224 · 510 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 4 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-543505,-154693503] |
[a1,a2,a3,a4,a6] |
j |
-1136353799133524889/5169479680000 |
j-invariant |
L |
4.218827533467 |
L(r)(E,1)/r! |
Ω |
0.087892240280561 |
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 |
4930d1 |
Quadratic twists by: 5 |