Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680eh |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
590418616320 = 213 · 38 · 5 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99723,12121018] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:4536:1] [173:216:1] |
Generators of the group modulo torsion |
j |
16718302693/90 |
j-invariant |
L |
11.144080034166 |
L(r)(E,1)/r! |
Ω |
0.81411721633297 |
Real period |
R |
1.7110681062467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210bk2 40560cz2 121680fp2 |
Quadratic twists by: -4 -3 13 |