Atkin-Lehner |
2+ 3- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17802h |
Isogeny class |
Conductor |
17802 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-23547770102016 = -1 · 28 · 37 · 232 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -3 -5 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44514,3633556] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:1766:1] [170942500:832969534:1030301] |
Generators of the group modulo torsion |
j |
-13381091368208929/32301467904 |
j-invariant |
L |
5.2331271141106 |
L(r)(E,1)/r! |
Ω |
0.6766022018618 |
Real period |
R |
0.16113379655578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5934f1 |
Quadratic twists by: -3 |