Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850g |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-15071420000000000 = -1 · 211 · 510 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -1 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-101876,13830898] |
[a1,a2,a3,a4,a6] |
j |
-21818208730807/2812160000 |
j-invariant |
L |
1.5278367219809 |
L(r)(E,1)/r! |
Ω |
0.38195918049643 |
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 |
6370ba1 31850x1 |
Quadratic twists by: 5 -7 |