Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466k |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.0200478635155E+20 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11- 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1249406,993890032] |
[a1,a2,a3,a4,a6] |
Generators |
[3088:161503:1] |
Generators of the group modulo torsion |
j |
-407735290247799591625/570897516732612608 |
j-invariant |
L |
4.9013383330168 |
L(r)(E,1)/r! |
Ω |
0.15539669413435 |
Real period |
R |
2.628401224684 |
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 |
81466n2 |
Quadratic twists by: -23 |