Atkin-Lehner |
2+ 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41952f |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-8.4845075276641E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 1 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4956349,44521806037] |
[a1,a2,a3,a4,a6] |
Generators |
[-324445:24966684:125] |
Generators of the group modulo torsion |
j |
-3287376833562958638592/207141297062111079939 |
j-invariant |
L |
6.2841844175148 |
L(r)(E,1)/r! |
Ω |
0.073571171071771 |
Real period |
R |
0.71180331529915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41952n1 83904j1 125856bk1 |
Quadratic twists by: -4 8 -3 |