Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
61268c |
Isogeny class |
Conductor |
61268 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7506432 |
Modular degree for the optimal curve |
Δ |
1609000308311296 = 28 · 179 · 53 |
Discriminant |
Eigenvalues |
2- 1 -1 2 4 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-866851261,-9823760501537] |
[a1,a2,a3,a4,a6] |
Generators |
[4857143255693421:32906339436890191102:105823817] |
Generators of the group modulo torsion |
j |
11657997957801459245056/260389 |
j-invariant |
L |
8.0393021232784 |
L(r)(E,1)/r! |
Ω |
0.027823605583532 |
Real period |
R |
24.078182160656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3604b1 |
Quadratic twists by: 17 |