Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560dk |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1018196656128000 = -1 · 225 · 38 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -5 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74892,-8036624] |
[a1,a2,a3,a4,a6] |
j |
-243087455521/5328000 |
j-invariant |
L |
1.7293329673783 |
L(r)(E,1)/r! |
Ω |
0.14411106629137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560gk1 3330e1 35520bc1 |
Quadratic twists by: -4 8 -3 |