Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850ck |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-15533344531250 = -1 · 2 · 58 · 76 · 132 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -3 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27180,-1728303] |
[a1,a2,a3,a4,a6] |
j |
-48317985/338 |
j-invariant |
L |
2.2300171871581 |
L(r)(E,1)/r! |
Ω |
0.1858347655965 |
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 |
31850bf1 650m1 |
Quadratic twists by: 5 -7 |