Atkin-Lehner |
2- 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370br |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
523206288900 = 22 · 38 · 52 · 192 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4298,103781] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:3351:8] |
Generators of the group modulo torsion |
j |
12042057135961/717704100 |
j-invariant |
L |
10.892573367079 |
L(r)(E,1)/r! |
Ω |
0.91196712641943 |
Real period |
R |
2.9860104201138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980908 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26790m2 |
Quadratic twists by: -3 |