Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45504bp |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
3864866586624 = 226 · 36 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 3 2 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5004,98064] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:352:1] |
Generators of the group modulo torsion |
j |
72511713/20224 |
j-invariant |
L |
5.8810159345959 |
L(r)(E,1)/r! |
Ω |
0.73111324165058 |
Real period |
R |
4.0219596634001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45504bb1 11376m1 5056p1 |
Quadratic twists by: -4 8 -3 |