Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23030s |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
11324422144000 = 214 · 53 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -1 1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5718,-37019] |
[a1,a2,a3,a4,a6] |
j |
175710096801/96256000 |
j-invariant |
L |
8.2127758351394 |
L(r)(E,1)/r! |
Ω |
0.5866268453671 |
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 |
115150m1 470f1 |
Quadratic twists by: 5 -7 |