Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080bo |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-322928640 = -1 · 215 · 33 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 4 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,865] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:8:1] |
Generators of the group modulo torsion |
j |
-8/9855 |
j-invariant |
L |
5.7584874884454 |
L(r)(E,1)/r! |
Ω |
1.3649307763553 |
Real period |
R |
2.1094430532362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080ch1 35040r1 |
Quadratic twists by: -4 8 |