Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bu |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
40642560 |
Modular degree for the optimal curve |
Δ |
3.9569048944417E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-89526480,121244437425] |
[a1,a2,a3,a4,a6] |
Generators |
[-8457:527303:1] |
Generators of the group modulo torsion |
j |
1966508735961299197303/980557920000000000 |
j-invariant |
L |
8.0000739432478 |
L(r)(E,1)/r! |
Ω |
0.057258365036194 |
Real period |
R |
0.66532794192042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670ce1 |
Quadratic twists by: -7 |