Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766g |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
31840712286372 = 22 · 35 · 117 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10045,-280727] |
[a1,a2,a3,a4,a6] |
Generators |
[116:305:1] |
Generators of the group modulo torsion |
j |
63282696625/17973252 |
j-invariant |
L |
3.4964590486632 |
L(r)(E,1)/r! |
Ω |
0.48716762493912 |
Real period |
R |
1.7942792530087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298bw1 2706l1 |
Quadratic twists by: -3 -11 |