Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680s |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
556540761600 = 29 · 39 · 52 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2403,-27702] |
[a1,a2,a3,a4,a6] |
Generators |
[-798:3572:27] |
Generators of the group modulo torsion |
j |
152273304/55225 |
j-invariant |
L |
5.8637162818168 |
L(r)(E,1)/r! |
Ω |
0.70252054501167 |
Real period |
R |
4.1733414939568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67680a2 67680b2 |
Quadratic twists by: -4 -3 |