Atkin-Lehner |
2- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34850x |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-21781250 = -1 · 2 · 56 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 -3 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45,-203] |
[a1,a2,a3,a4,a6] |
Generators |
[55038810:742081:14886936] |
Generators of the group modulo torsion |
j |
658503/1394 |
j-invariant |
L |
14.75112843527 |
L(r)(E,1)/r! |
Ω |
1.117108584815 |
Real period |
R |
13.204740018817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1394d1 |
Quadratic twists by: 5 |