Atkin-Lehner |
2- 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562t |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
827904 |
Modular degree for the optimal curve |
Δ |
-37190387733774336 = -1 · 214 · 37 · 176 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -5 -7 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,45945,8487933] |
[a1,a2,a3,a4,a6] |
Generators |
[171:-4710:1] |
Generators of the group modulo torsion |
j |
444369620591/1540767744 |
j-invariant |
L |
6.8386894029292 |
L(r)(E,1)/r! |
Ω |
0.25904845530703 |
Real period |
R |
0.94283097315962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
258f1 |
Quadratic twists by: 17 |