Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970be |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
221088 |
Modular degree for the optimal curve |
Δ |
-1429324759940 = -1 · 22 · 5 · 710 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2451,-74299] |
[a1,a2,a3,a4,a6] |
j |
-5764801/5060 |
j-invariant |
L |
0.65450947653609 |
L(r)(E,1)/r! |
Ω |
0.32725516848696 |
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 |
123970bm1 |
Quadratic twists by: -7 |