Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304k |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
228085736058432 = 26 · 313 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122601,16507024] |
[a1,a2,a3,a4,a6] |
j |
4368157081239232/4888668897 |
j-invariant |
L |
2.2257298051797 |
L(r)(E,1)/r! |
Ω |
0.55643245128861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304y1 76608eh1 12768w1 |
Quadratic twists by: -4 8 -3 |