Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79800o |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
2640 |
Product of Tamagawa factors cp |
deg |
5829120 |
Modular degree for the optimal curve |
Δ |
-4.0842733490622E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12945633,17950083363] |
[a1,a2,a3,a4,a6] |
Generators |
[2343:-22050:1] [-3537:139650:1] |
Generators of the group modulo torsion |
j |
-59983751935638946816/102106833726555 |
j-invariant |
L |
12.687361623755 |
L(r)(E,1)/r! |
Ω |
0.16826761703504 |
Real period |
R |
0.02856056846584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15960l1 |
Quadratic twists by: 5 |