Atkin-Lehner |
2- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42284c |
Isogeny class |
Conductor |
42284 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-779844386673556336 = -1 · 24 · 116 · 317 |
Discriminant |
Eigenvalues |
2- 0 1 -3 11+ -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-765917,-261475607] |
[a1,a2,a3,a4,a6] |
Generators |
[108336:6682951:27] |
Generators of the group modulo torsion |
j |
-3499279992576/54918391 |
j-invariant |
L |
4.5250663809366 |
L(r)(E,1)/r! |
Ω |
0.080615616704145 |
Real period |
R |
7.0164233772739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1364b1 |
Quadratic twists by: -31 |