Atkin-Lehner |
2+ 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840k |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
544645200 = 24 · 3 · 52 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-815,9162] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:110:1] [34:140:1] |
Generators of the group modulo torsion |
j |
3746358409216/34040325 |
j-invariant |
L |
9.9007845192853 |
L(r)(E,1)/r! |
Ω |
1.6506499869889 |
Real period |
R |
2.9990563103845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920r1 |
Quadratic twists by: -4 |