Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bg |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
83013134400 = 26 · 32 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3446,-75480] |
[a1,a2,a3,a4,a6] |
Generators |
[98:720:1] |
Generators of the group modulo torsion |
j |
601211584/11025 |
j-invariant |
L |
3.9648595564822 |
L(r)(E,1)/r! |
Ω |
0.62379763646404 |
Real period |
R |
3.1780014260368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23520bs1 47040hh2 70560bw1 117600dd1 |
Quadratic twists by: -4 8 -3 5 |