Atkin-Lehner |
3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20097l |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-1418779930491 = -1 · 37 · 75 · 113 · 29 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 11- -3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21389,1210704] |
[a1,a2,a3,a4,a6] |
Generators |
[-105742:3255858:2197] [-112:1536:1] |
Generators of the group modulo torsion |
j |
-1484391946907017/1946200179 |
j-invariant |
L |
4.3176452735621 |
L(r)(E,1)/r! |
Ω |
0.85101680223128 |
Real period |
R |
0.084558559091558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6699e1 |
Quadratic twists by: -3 |