Atkin-Lehner |
2- 3- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42864d |
Isogeny class |
Conductor |
42864 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
244536209362944 = 212 · 33 · 196 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17317,445139] |
[a1,a2,a3,a4,a6] |
Generators |
[758:20577:1] |
Generators of the group modulo torsion |
j |
140218983313408/59701222989 |
j-invariant |
L |
4.6303059812646 |
L(r)(E,1)/r! |
Ω |
0.5014186190808 |
Real period |
R |
1.539068622855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2679c1 128592g1 |
Quadratic twists by: -4 -3 |