Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91080s |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
320800643499600 = 24 · 39 · 52 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42582,3270481] |
[a1,a2,a3,a4,a6] |
Generators |
[137:90:1] |
Generators of the group modulo torsion |
j |
732072963426304/27503484525 |
j-invariant |
L |
6.1389210602548 |
L(r)(E,1)/r! |
Ω |
0.53869006285017 |
Real period |
R |
2.8490042238406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360be1 |
Quadratic twists by: -3 |