Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31434y |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-26553959185268736 = -1 · 214 · 310 · 134 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -2 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59407,9614201] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:-3595:1] [-250:3101:1] |
Generators of the group modulo torsion |
j |
-811827248674273/929727922176 |
j-invariant |
L |
11.140847764168 |
L(r)(E,1)/r! |
Ω |
0.34063361059068 |
Real period |
R |
0.038936010988354 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302ba1 31434i1 |
Quadratic twists by: -3 13 |