Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840bm |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-30537216000 = -1 · 212 · 33 · 53 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-627,10354] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-120:1] [-15:128:1] |
Generators of the group modulo torsion |
j |
-246491883/276125 |
j-invariant |
L |
8.3248005807108 |
L(r)(E,1)/r! |
Ω |
1.0654800420557 |
Real period |
R |
0.65109936774367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2115b1 33840y1 |
Quadratic twists by: -4 -3 |