Atkin-Lehner |
2- 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450cf |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
72419531250 = 2 · 3 · 58 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8938,324242] |
[a1,a2,a3,a4,a6] |
Generators |
[518:815:8] |
Generators of the group modulo torsion |
j |
5053913144281/4634850 |
j-invariant |
L |
10.807482755779 |
L(r)(E,1)/r! |
Ω |
1.0864040734081 |
Real period |
R |
4.9739700998011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490d2 |
Quadratic twists by: 5 |