Atkin-Lehner |
2+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
122816b |
Isogeny class |
Conductor |
122816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-146734913159168 = -1 · 221 · 193 · 1012 |
Discriminant |
Eigenvalues |
2+ -1 -2 1 2 -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4351,-573695] |
[a1,a2,a3,a4,a6] |
Generators |
[387:7676:1] |
Generators of the group modulo torsion |
j |
34741712447/559749272 |
j-invariant |
L |
3.8155542269219 |
L(r)(E,1)/r! |
Ω |
0.28289820268117 |
Real period |
R |
1.1239479517161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998992276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122816e1 3838a1 |
Quadratic twists by: -4 8 |