Atkin-Lehner |
2- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
44650x |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-83942000000 = -1 · 27 · 56 · 19 · 472 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 0 -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,945,-8553] |
[a1,a2,a3,a4,a6] |
Generators |
[9:20:1] [15:86:1] |
Generators of the group modulo torsion |
j |
5979018375/5372288 |
j-invariant |
L |
8.5272950274347 |
L(r)(E,1)/r! |
Ω |
0.59264149536205 |
Real period |
R |
0.51387939144181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786c1 |
Quadratic twists by: 5 |