Atkin-Lehner |
2- 3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42180b |
Isogeny class |
Conductor |
42180 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-147596256000 = -1 · 28 · 38 · 53 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 5 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,835,-16263] |
[a1,a2,a3,a4,a6] |
j |
251201921024/576547875 |
j-invariant |
L |
3.2017676339664 |
L(r)(E,1)/r! |
Ω |
0.5336279389838 |
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 |
126540g1 |
Quadratic twists by: -3 |