Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40896bj |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-3001093365694464 = -1 · 231 · 39 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 1 6 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125388,17291664] |
[a1,a2,a3,a4,a6] |
Generators |
[384:5076:1] |
Generators of the group modulo torsion |
j |
-42253279587/581632 |
j-invariant |
L |
6.3712501455726 |
L(r)(E,1)/r! |
Ω |
0.45201629456276 |
Real period |
R |
3.5237945081903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40896c1 10224i1 40896bg1 |
Quadratic twists by: -4 8 -3 |