Atkin-Lehner |
2+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
68890d |
Isogeny class |
Conductor |
68890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-11022400 = -1 · 26 · 52 · 832 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -6 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22,156] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] [-3:9:1] [-10:91:8] |
Generators of the group modulo torsion |
j |
182351/1600 |
j-invariant |
L |
7.1424440090441 |
L(r)(E,1)/r! |
Ω |
1.6645729681929 |
Real period |
R |
1.0727141653635 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68890f1 |
Quadratic twists by: -83 |