Atkin-Lehner |
2+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256l |
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 |
[-18:629:1] |
Generators of the group modulo torsion |
j |
837601784671744/20040403573 |
j-invariant |
L |
2.291702365222 |
L(r)(E,1)/r! |
Ω |
0.85859258178781 |
Real period |
R |
0.26691383245459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256n1 20128c1 |
Quadratic twists by: -4 8 |