Atkin-Lehner |
3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225a |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18576 |
Modular degree for the optimal curve |
Δ |
-87966675 = -1 · 33 · 52 · 194 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 0 7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,451] |
[a1,a2,a3,a4,a6] |
Generators |
[19:85:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
6.2585730917209 |
L(r)(E,1)/r! |
Ω |
1.5188777000562 |
Real period |
R |
0.68675411827819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225a2 81225f1 81225c1 |
Quadratic twists by: -3 5 -19 |