Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cp |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
3182170152000 = 26 · 3 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7890,252447] |
[a1,a2,a3,a4,a6] |
Generators |
[27:231:1] |
Generators of the group modulo torsion |
j |
461710681489/27048000 |
j-invariant |
L |
8.2589252257762 |
L(r)(E,1)/r! |
Ω |
0.78487086820382 |
Real period |
R |
0.5845919345431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430bc1 4830bb1 |
Quadratic twists by: -3 -7 |