Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74420b |
Isogeny class |
Conductor |
74420 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
4762880 = 28 · 5 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -3 6 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-488,4148] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:81:1] [13:1:1] |
Generators of the group modulo torsion |
j |
13492224/5 |
j-invariant |
L |
9.1695385948273 |
L(r)(E,1)/r! |
Ω |
2.3939670419745 |
Real period |
R |
3.830269353812 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74420a1 |
Quadratic twists by: 61 |