Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640bi |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
86139976000 = 26 · 53 · 135 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 4 13- -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1645,22007] |
[a1,a2,a3,a4,a6] |
Generators |
[34:65:1] |
Generators of the group modulo torsion |
j |
7696715382784/1345937125 |
j-invariant |
L |
7.8722976694489 |
L(r)(E,1)/r! |
Ω |
1.0266861293922 |
Real period |
R |
0.5111784712811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640cv1 1885c1 |
Quadratic twists by: -4 8 |