Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cu |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
3340800000 = 212 · 32 · 55 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120825,16205625] |
[a1,a2,a3,a4,a6] |
Generators |
[200:-25:1] |
Generators of the group modulo torsion |
j |
47625305001386176/815625 |
j-invariant |
L |
5.2662687861669 |
L(r)(E,1)/r! |
Ω |
1.0103323466489 |
Real period |
R |
0.52124123350442 |
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 |
27840dx1 13920ba1 83520ez1 |
Quadratic twists by: -4 8 -3 |