Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27048m |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-6234455808 = -1 · 28 · 32 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,180,3744] |
[a1,a2,a3,a4,a6] |
j |
21296/207 |
j-invariant |
L |
1.9687965646515 |
L(r)(E,1)/r! |
Ω |
0.98439828232591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54096i1 81144bv1 552c1 |
Quadratic twists by: -4 -3 -7 |