Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18600ba |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-254238750000 = -1 · 24 · 38 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,617,23738] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:117:1] |
Generators of the group modulo torsion |
j |
103737344/1016955 |
j-invariant |
L |
5.2218867994465 |
L(r)(E,1)/r! |
Ω |
0.72288387639177 |
Real period |
R |
1.8059217289197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37200g1 55800p1 3720b1 |
Quadratic twists by: -4 -3 5 |