Atkin-Lehner |
2- 3+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942o |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1588343526 = -1 · 2 · 33 · 72 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 1 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,225,-1317] |
[a1,a2,a3,a4,a6] |
j |
1259362112399/1588343526 |
j-invariant |
L |
3.2154046412021 |
L(r)(E,1)/r! |
Ω |
0.80385116030052 |
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 |
56826k1 |
Quadratic twists by: -3 |