Atkin-Lehner |
2+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256n |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
1282585828672 = 26 · 172 · 375 |
Discriminant |
Eigenvalues |
2+ -1 -4 3 5 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7855,-259759] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:37:1] |
Generators of the group modulo torsion |
j |
837601784671744/20040403573 |
j-invariant |
L |
4.5203264751667 |
L(r)(E,1)/r! |
Ω |
0.50785708698884 |
Real period |
R |
0.8900784474563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256l1 20128h1 |
Quadratic twists by: -4 8 |