Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850j |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-4196775128000000 = -1 · 29 · 56 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 13+ -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2479426,-1502918252] |
[a1,a2,a3,a4,a6] |
j |
-2673465150439/6656 |
j-invariant |
L |
0.24062553845993 |
L(r)(E,1)/r! |
Ω |
0.060156384614372 |
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 |
1274l1 31850z1 |
Quadratic twists by: 5 -7 |