Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-5116782182400 = -1 · 218 · 38 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2239,-100161] |
[a1,a2,a3,a4,a6] |
Generators |
[49:360:1] |
Generators of the group modulo torsion |
j |
4733169839/19518975 |
j-invariant |
L |
8.2233886418117 |
L(r)(E,1)/r! |
Ω |
0.38809747244482 |
Real period |
R |
1.324311095226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240q1 28560dc1 |
Quadratic twists by: -4 8 |