Atkin-Lehner |
2+ 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920a |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-2246494798080000 = -1 · 211 · 39 · 54 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -1 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127683,17708382] |
[a1,a2,a3,a4,a6] |
Generators |
[306:2700:1] |
Generators of the group modulo torsion |
j |
-5710862474406/55729375 |
j-invariant |
L |
4.235509672395 |
L(r)(E,1)/r! |
Ω |
0.46378015390589 |
Real period |
R |
2.2831451680482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88920w1 |
Quadratic twists by: -3 |