Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bj |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-91635819993421875 = -1 · 38 · 56 · 197 |
Discriminant |
Eigenvalues |
2 3- 5+ 5 -1 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-189525,34938031] |
[a1,a2,a3,a4,a6] |
Generators |
[675374:4907867:2744] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
16.444566905274 |
L(r)(E,1)/r! |
Ω |
0.32907968686206 |
Real period |
R |
6.2464228109165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27075k1 3249g1 4275j1 |
Quadratic twists by: -3 5 -19 |