Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gu |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4299079680 = -1 · 214 · 32 · 5 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,315,2205] |
[a1,a2,a3,a4,a6] |
Generators |
[12:87:1] |
Generators of the group modulo torsion |
j |
210308096/262395 |
j-invariant |
L |
5.1789518676892 |
L(r)(E,1)/r! |
Ω |
0.92747085270407 |
Real period |
R |
2.791975550082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999601508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240eq1 28560bf1 |
Quadratic twists by: -4 8 |