Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656bh |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
12348758442214656 = 28 · 319 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- -4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58021,612889] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:2438:1] |
Generators of the group modulo torsion |
j |
697367157735424/398655683181 |
j-invariant |
L |
3.462723694606 |
L(r)(E,1)/r! |
Ω |
0.34311679545298 |
Real period |
R |
5.0459839630334 |
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 |
10164v1 121968dy1 40656bs1 |
Quadratic twists by: -4 -3 -11 |