Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810s |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
418228077120 = 26 · 3 · 5 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3112,57856] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:326:1] |
Generators of the group modulo torsion |
j |
28344726649/3554880 |
j-invariant |
L |
4.0942761154131 |
L(r)(E,1)/r! |
Ω |
0.91100272801922 |
Real period |
R |
2.2471261553275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430em1 4830i1 |
Quadratic twists by: -3 -7 |