Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800bn |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-152928000000000000 = -1 · 217 · 34 · 512 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -1 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,103992,13654512] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:2250:1] |
Generators of the group modulo torsion |
j |
1943297778239/2389500000 |
j-invariant |
L |
4.4513167188698 |
L(r)(E,1)/r! |
Ω |
0.21755857139458 |
Real period |
R |
2.5575392701403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850j1 14160be1 |
Quadratic twists by: -4 5 |