Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
89460k |
Isogeny class |
Conductor |
89460 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-7.0739087007825E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1411593,1104888094] |
[a1,a2,a3,a4,a6] |
Generators |
[1658:89460:1] |
Generators of the group modulo torsion |
j |
1666804662635700656/3790460337782125 |
j-invariant |
L |
7.7554677500122 |
L(r)(E,1)/r! |
Ω |
0.11178181100412 |
Real period |
R |
2.312680293719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9940a1 |
Quadratic twists by: -3 |