Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568b |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11209935679488 = 212 · 34 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8337,-241983] |
[a1,a2,a3,a4,a6] |
Generators |
[-3516:13905:64] |
Generators of the group modulo torsion |
j |
3241792/567 |
j-invariant |
L |
6.0545859279601 |
L(r)(E,1)/r! |
Ω |
0.50560361164252 |
Real period |
R |
5.9874828916786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999646533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568bo3 672e2 |
Quadratic twists by: -4 13 |