Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766p |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
15186898001088 = 26 · 33 · 118 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11- -6 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20936,1149014] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:1507:1] |
Generators of the group modulo torsion |
j |
4734057625/70848 |
j-invariant |
L |
4.9848676271644 |
L(r)(E,1)/r! |
Ω |
0.70170943034 |
Real period |
R |
0.39466063647432 |
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 |
89298cl1 29766bo1 |
Quadratic twists by: -3 -11 |