Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23030l |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
2379119537177600 = 210 · 52 · 711 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-803773,277285656] |
[a1,a2,a3,a4,a6] |
Generators |
[270:8807:1] |
Generators of the group modulo torsion |
j |
488129366009364409/20222182400 |
j-invariant |
L |
2.8816864669386 |
L(r)(E,1)/r! |
Ω |
0.43138794635421 |
Real period |
R |
3.3400173686963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115150cm1 3290b1 |
Quadratic twists by: 5 -7 |