Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45504bn |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
60388540416 = 220 · 36 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26796,1688272] |
[a1,a2,a3,a4,a6] |
Generators |
[48:716:1] |
Generators of the group modulo torsion |
j |
11134383337/316 |
j-invariant |
L |
7.6406682467544 |
L(r)(E,1)/r! |
Ω |
1.0320274315293 |
Real period |
R |
3.7017757538786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45504z1 11376n1 5056n1 |
Quadratic twists by: -4 8 -3 |