Atkin-Lehner |
3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11115i |
Isogeny class |
Conductor |
11115 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-1393323564687721875 = -1 · 39 · 55 · 137 · 192 |
Discriminant |
Eigenvalues |
2 3- 5- -1 -3 13+ 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-42897,56894467] |
[a1,a2,a3,a4,a6] |
j |
-11975039274594304/1911280609996875 |
j-invariant |
L |
4.4186483579366 |
L(r)(E,1)/r! |
Ω |
0.22093241789683 |
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 |
3705b1 55575y1 |
Quadratic twists by: -3 5 |