Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bf |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
5881332334500 = 22 · 33 · 53 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24869,1502876] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:1723:1] |
Generators of the group modulo torsion |
j |
14457238157881/49990500 |
j-invariant |
L |
4.7124427243213 |
L(r)(E,1)/r! |
Ω |
0.76087277170689 |
Real period |
R |
0.51612250426461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430fg1 4830g1 |
Quadratic twists by: -3 -7 |