Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880dt |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1327902400000000 = -1 · 212 · 58 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27415,-137225] |
[a1,a2,a3,a4,a6] |
Generators |
[130:2375:1] |
Generators of the group modulo torsion |
j |
556304628382784/324194921875 |
j-invariant |
L |
3.6553545265528 |
L(r)(E,1)/r! |
Ω |
0.28486188630077 |
Real period |
R |
0.53466766159476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880cx2 33440b1 |
Quadratic twists by: -4 8 |