Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49504d |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-13465088 = -1 · 29 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- -3 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,166] |
[a1,a2,a3,a4,a6] |
Generators |
[9:34:1] [1:14:1] |
Generators of the group modulo torsion |
j |
5268024/26299 |
j-invariant |
L |
5.221376771438 |
L(r)(E,1)/r! |
Ω |
1.6078381454576 |
Real period |
R |
0.81186293318579 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49504a1 99008dg1 |
Quadratic twists by: -4 8 |