Atkin-Lehner |
3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40293d |
Isogeny class |
Conductor |
40293 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1290176501031 = -1 · 39 · 116 · 37 |
Discriminant |
Eigenvalues |
-1 3+ -2 4 11- 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1429,-50894] |
[a1,a2,a3,a4,a6] |
j |
9261/37 |
j-invariant |
L |
1.7431666994099 |
L(r)(E,1)/r! |
Ω |
0.43579167485591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40293b1 333b1 |
Quadratic twists by: -3 -11 |