Atkin-Lehner |
2+ 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45560b |
Isogeny class |
Conductor |
45560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70848 |
Modular degree for the optimal curve |
Δ |
-19536128000 = -1 · 211 · 53 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 2 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24216,-1442420] |
[a1,a2,a3,a4,a6] |
Generators |
[40254:150013:216] |
Generators of the group modulo torsion |
j |
-766865001550898/9539125 |
j-invariant |
L |
2.7176814790745 |
L(r)(E,1)/r! |
Ω |
0.19135602389784 |
Real period |
R |
7.1011129509577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91120c1 |
Quadratic twists by: -4 |