Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950cb |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-591105093750000 = -1 · 24 · 39 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-139430,20108197] |
[a1,a2,a3,a4,a6] |
j |
-7797729087/15376 |
j-invariant |
L |
4.1323663380418 |
L(r)(E,1)/r! |
Ω |
0.51654579225523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600de1 13950l1 13950k1 |
Quadratic twists by: -4 -3 5 |