Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466k |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-453615079653790208 = -1 · 29 · 712 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11- 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,131169,-26741454] |
[a1,a2,a3,a4,a6] |
Generators |
[114885210:2333284689:389017] |
Generators of the group modulo torsion |
j |
471809218761278375/857495424676352 |
j-invariant |
L |
4.9013383330168 |
L(r)(E,1)/r! |
Ω |
0.15539669413435 |
Real period |
R |
7.885203674052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81466n1 |
Quadratic twists by: -23 |