Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766bg |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
952512 = 26 · 3 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 11- -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2615,50381] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-14:1] |
Generators of the group modulo torsion |
j |
16344205014841/7872 |
j-invariant |
L |
3.4020359168402 |
L(r)(E,1)/r! |
Ω |
2.2795844149976 |
Real period |
R |
0.24873217346531 |
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 |
89298bk1 29766o1 |
Quadratic twists by: -3 -11 |