Atkin-Lehner |
5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44965d |
Isogeny class |
Conductor |
44965 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
764405 = 5 · 172 · 232 |
Discriminant |
Eigenvalues |
-2 0 5+ 2 5 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23,-6] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
2543616/1445 |
j-invariant |
L |
3.2045994075865 |
L(r)(E,1)/r! |
Ω |
2.3546562441275 |
Real period |
R |
0.68048136868796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44965h1 |
Quadratic twists by: -23 |