Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3042b |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-2378670782436 = -1 · 22 · 36 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 -4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1236,-72604] |
[a1,a2,a3,a4,a6] |
j |
351/4 |
j-invariant |
L |
1.6076449917881 |
L(r)(E,1)/r! |
Ω |
0.40191124794702 |
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 |
24336bk1 97344bn1 338b1 76050fc1 |
Quadratic twists by: -4 8 -3 5 |