Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670cp |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-1.2141697860379E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1637140,-1860415600] |
[a1,a2,a3,a4,a6] |
j |
-4124705517970189489/10320272896819200 |
j-invariant |
L |
6.7130046130769 |
L(r)(E,1)/r! |
Ω |
0.062157451275335 |
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 |
12810k1 |
Quadratic twists by: -7 |