Atkin-Lehner |
2+ 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41952h |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-87475625472 = -1 · 29 · 3 · 195 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -2 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,248,-14068] |
[a1,a2,a3,a4,a6] |
j |
3281379256/170850831 |
j-invariant |
L |
4.6330041964964 |
L(r)(E,1)/r! |
Ω |
0.51477824405401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41952e1 83904bi1 125856bf1 |
Quadratic twists by: -4 8 -3 |