Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270l |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4444160 |
Modular degree for the optimal curve |
Δ |
-5.3065379261353E+20 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8882062,10245104436] |
[a1,a2,a3,a4,a6] |
Generators |
[-6622980:218987202:2197] |
Generators of the group modulo torsion |
j |
-2930960362231/20070400 |
j-invariant |
L |
6.7687337244317 |
L(r)(E,1)/r! |
Ω |
0.16551557872325 |
Real period |
R |
10.22371092888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67270m1 |
Quadratic twists by: -31 |