Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360ce |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-24695640391680 = -1 · 215 · 37 · 5 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 2 4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10465,479905] |
[a1,a2,a3,a4,a6] |
j |
-3868414248392/753651135 |
j-invariant |
L |
3.8686828791318 |
L(r)(E,1)/r! |
Ω |
0.64478047985663 |
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 |
39360dh1 19680i1 118080el1 |
Quadratic twists by: -4 8 -3 |