Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bc |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-19962298944 = -1 · 26 · 32 · 72 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,308,6370] |
[a1,a2,a3,a4,a6] |
j |
50325149888/311910921 |
j-invariant |
L |
1.7628986170354 |
L(r)(E,1)/r! |
Ω |
0.88144930851422 |
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 |
38976bu1 19488g4 116928du1 |
Quadratic twists by: -4 8 -3 |