Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23712k |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
71418856084992 = 29 · 32 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11344,229540] |
[a1,a2,a3,a4,a6] |
j |
315348440911496/139489953291 |
j-invariant |
L |
1.106772811987 |
L(r)(E,1)/r! |
Ω |
0.55338640599344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23712h3 47424bz4 71136h3 |
Quadratic twists by: -4 8 -3 |