Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128cf |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-53410368 = -1 · 26 · 3 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36,-330] |
[a1,a2,a3,a4,a6] |
Generators |
[19815:36694:3375] |
Generators of the group modulo torsion |
j |
78402752/834537 |
j-invariant |
L |
7.7408023819658 |
L(r)(E,1)/r! |
Ω |
0.98225664393806 |
Real period |
R |
7.8806312278309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128bg1 20064b4 120384da1 |
Quadratic twists by: -4 8 -3 |