Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462dc |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
42566722159104 = 29 · 37 · 113 · 134 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25889,1578737] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:196:1] [-159:1366:1] |
Generators of the group modulo torsion |
j |
92162208697/2044416 |
j-invariant |
L |
9.8317940726153 |
L(r)(E,1)/r! |
Ω |
0.6417856494827 |
Real period |
R |
0.42553988411252 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11154p2 33462y2 |
Quadratic twists by: -3 13 |