Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2952b |
Isogeny class |
Conductor |
2952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-3125541987072 = -1 · 28 · 311 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -1 4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3324,-112588] |
[a1,a2,a3,a4,a6] |
j |
-21764027392/16747803 |
j-invariant |
L |
2.4341050860633 |
L(r)(E,1)/r! |
Ω |
0.30426313575791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5904d1 23616j1 984c1 73800by1 |
Quadratic twists by: -4 8 -3 5 |