Atkin-Lehner |
2- 3+ 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274bh |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
142248960 |
Modular degree for the optimal curve |
Δ |
-1.0789842250611E+28 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 1 -1 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43981193,-4998897922391] |
[a1,a2,a3,a4,a6] |
j |
-478006086936809341559403/548180777859627279651424 |
j-invariant |
L |
7.6807090956825 |
L(r)(E,1)/r! |
Ω |
0.0182874031152 |
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 |
113274f1 |
Quadratic twists by: -3 |