Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670r |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2.9183609943718E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13339639,18733584986] |
[a1,a2,a3,a4,a6] |
Generators |
[103:131708:1] |
Generators of the group modulo torsion |
j |
2231349786092891482201/2480565915878400 |
j-invariant |
L |
3.8992314270346 |
L(r)(E,1)/r! |
Ω |
0.17237020169599 |
Real period |
R |
0.94255256661194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000068 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810c2 |
Quadratic twists by: -7 |