Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42400j |
Isogeny class |
Conductor |
42400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-3392000000 = -1 · 212 · 56 · 53 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 6 3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1900,-32000] |
[a1,a2,a3,a4,a6] |
j |
-11852352/53 |
j-invariant |
L |
1.445855717835 |
L(r)(E,1)/r! |
Ω |
0.36146392946124 |
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 |
42400i1 84800cj1 1696c1 |
Quadratic twists by: -4 8 5 |