Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240fu |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
-2.8305547821947E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33761,-255972735] |
[a1,a2,a3,a4,a6] |
Generators |
[1165:35840:1] |
Generators of the group modulo torsion |
j |
-16234636151161/107977095878400 |
j-invariant |
L |
4.5077750191532 |
L(r)(E,1)/r! |
Ω |
0.095555330850969 |
Real period |
R |
2.3587250244401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240cr1 28560dz1 |
Quadratic twists by: -4 8 |