Atkin-Lehner |
3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18975l |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28320 |
Modular degree for the optimal curve |
Δ |
-75010546875 = -1 · 3 · 58 · 112 · 232 |
Discriminant |
Eigenvalues |
-2 3+ 5- 1 11- 7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,542,-12432] |
[a1,a2,a3,a4,a6] |
Generators |
[42:287:1] |
Generators of the group modulo torsion |
j |
44994560/192027 |
j-invariant |
L |
2.4018541022711 |
L(r)(E,1)/r! |
Ω |
0.55113195297688 |
Real period |
R |
0.36316984969113 |
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 |
56925bf1 18975s1 |
Quadratic twists by: -3 5 |