Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47880bp |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
66229339655485440 = 211 · 310 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101307,851254] |
[a1,a2,a3,a4,a6] |
j |
77016644991218/44360143695 |
j-invariant |
L |
2.3736211636785 |
L(r)(E,1)/r! |
Ω |
0.29670264547493 |
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 |
95760bh3 15960g3 |
Quadratic twists by: -4 -3 |