Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970bg |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
Δ |
1.987569204291E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10641348,11510461378] |
[a1,a2,a3,a4,a6] |
Generators |
[3809:-163905:1] |
Generators of the group modulo torsion |
j |
75224183150104868881/11219310000000000 |
j-invariant |
L |
6.9182017089995 |
L(r)(E,1)/r! |
Ω |
0.11672680315038 |
Real period |
R |
0.59268321604615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570l2 |
Quadratic twists by: -11 |