Atkin-Lehner |
3+ 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
105225d |
Isogeny class |
Conductor |
105225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-1775671875 = -1 · 34 · 56 · 23 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 -3 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-983,12368] |
[a1,a2,a3,a4,a6] |
Generators |
[32:112:1] |
Generators of the group modulo torsion |
j |
-6729859072/113643 |
j-invariant |
L |
3.9298259574532 |
L(r)(E,1)/r! |
Ω |
1.4912771977965 |
Real period |
R |
0.6588020610455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999782668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4209a1 |
Quadratic twists by: 5 |