Atkin-Lehner |
2- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
24920d |
Isogeny class |
Conductor |
24920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-22525706256256000 = -1 · 210 · 53 · 711 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -1 -6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,61224,4239260] |
[a1,a2,a3,a4,a6] |
Generators |
[39423934:1603813608:24389] |
Generators of the group modulo torsion |
j |
24784591365682844/21997760015875 |
j-invariant |
L |
6.5344962783069 |
L(r)(E,1)/r! |
Ω |
0.24818652542551 |
Real period |
R |
13.16448640212 |
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 |
49840e1 124600f1 |
Quadratic twists by: -4 5 |