Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45504x |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
3774283776 = 216 · 36 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 4 -1 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-4624] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:16:1] |
Generators of the group modulo torsion |
j |
470596/79 |
j-invariant |
L |
4.6492061880378 |
L(r)(E,1)/r! |
Ω |
0.98058785497414 |
Real period |
R |
1.1853109755669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45504bk1 5688c1 5056g1 |
Quadratic twists by: -4 8 -3 |