Atkin-Lehner |
3- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
18615i |
Isogeny class |
Conductor |
18615 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11360 |
Modular degree for the optimal curve |
Δ |
-188476875 = -1 · 35 · 54 · 17 · 73 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 0 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,114,-430] |
[a1,a2,a3,a4,a6] |
Generators |
[9:37:1] |
Generators of the group modulo torsion |
j |
162413858816/188476875 |
j-invariant |
L |
3.2582549055412 |
L(r)(E,1)/r! |
Ω |
0.9654844619321 |
Real period |
R |
0.33747357249239 |
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 |
55845i1 93075c1 |
Quadratic twists by: -3 5 |