Atkin-Lehner |
5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44965h |
Isogeny class |
Conductor |
44965 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
113159373731045 = 5 · 172 · 238 |
Discriminant |
Eigenvalues |
-2 0 5- -2 -5 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12167,69960] |
[a1,a2,a3,a4,a6] |
Generators |
[0:264:1] |
Generators of the group modulo torsion |
j |
2543616/1445 |
j-invariant |
L |
1.6599996673464 |
L(r)(E,1)/r! |
Ω |
0.5089383239613 |
Real period |
R |
0.54361520482745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44965d1 |
Quadratic twists by: -23 |