Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850q |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
105840 |
Modular degree for the optimal curve |
Δ |
-3058874000000 = -1 · 27 · 56 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3292,-110384] |
[a1,a2,a3,a4,a6] |
j |
-2146689/1664 |
j-invariant |
L |
0.30494132255587 |
L(r)(E,1)/r! |
Ω |
0.304941322552 |
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 |
1274n1 650f1 |
Quadratic twists by: 5 -7 |