Atkin-Lehner |
3- 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
18615j |
Isogeny class |
Conductor |
18615 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4160 |
Modular degree for the optimal curve |
Δ |
-188476875 = -1 · 35 · 54 · 17 · 73 |
Discriminant |
Eigenvalues |
0 3- 5- 0 0 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-25,-671] |
[a1,a2,a3,a4,a6] |
Generators |
[11:22:1] |
Generators of the group modulo torsion |
j |
-1798045696/188476875 |
j-invariant |
L |
5.4243431485178 |
L(r)(E,1)/r! |
Ω |
0.79476603975783 |
Real period |
R |
0.34125408467193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55845f1 93075f1 |
Quadratic twists by: -3 5 |