Atkin-Lehner |
2- 3+ 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350cj |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1685760 |
Modular degree for the optimal curve |
Δ |
-48775755289488750 = -1 · 2 · 320 · 54 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2302288,1343665631] |
[a1,a2,a3,a4,a6] |
j |
-2159348086591360961425/78041208463182 |
j-invariant |
L |
4.0111234766606 |
L(r)(E,1)/r! |
Ω |
0.33426029289674 |
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 |
88350be1 |
Quadratic twists by: 5 |