Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240jc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-9.4666147265249E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,842079,1450413279] |
[a1,a2,a3,a4,a6] |
j |
251907898698209879/3611226931200000 |
j-invariant |
L |
1.3959926808604 |
L(r)(E,1)/r! |
Ω |
0.11633274003204 |
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 |
114240h1 28560cz1 |
Quadratic twists by: -4 8 |