Atkin-Lehner |
11- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
129833f |
Isogeny class |
Conductor |
129833 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
674784 |
Modular degree for the optimal curve |
Δ |
314879691579497 = 118 · 29 · 373 |
Discriminant |
Eigenvalues |
-1 0 -2 1 11- 6 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-289576,-59899430] |
[a1,a2,a3,a4,a6] |
Generators |
[5899:448138:1] |
Generators of the group modulo torsion |
j |
12527618491377/1468937 |
j-invariant |
L |
3.4184473843376 |
L(r)(E,1)/r! |
Ω |
0.20580792133439 |
Real period |
R |
5.5366306198195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000196444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129833b1 |
Quadratic twists by: -11 |