Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840bq |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-82231200000 = -1 · 28 · 37 · 55 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 4 -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1983,36682] |
[a1,a2,a3,a4,a6] |
Generators |
[14:108:1] |
Generators of the group modulo torsion |
j |
-4620876496/440625 |
j-invariant |
L |
5.2524297869483 |
L(r)(E,1)/r! |
Ω |
1.0560531489437 |
Real period |
R |
2.4868207590698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8460g1 11280bb1 |
Quadratic twists by: -4 -3 |