Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960x |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-110343946240000 = -1 · 219 · 54 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11668,141744] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-800:1] |
Generators of the group modulo torsion |
j |
670151588751/420928750 |
j-invariant |
L |
3.0505647579947 |
L(r)(E,1)/r! |
Ω |
0.3681116393025 |
Real period |
R |
1.0358830132277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80960cb3 2530j4 |
Quadratic twists by: -4 8 |