Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hu |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-27858036326400 = -1 · 218 · 36 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4895,215425] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:448:1] |
Generators of the group modulo torsion |
j |
49471280711/106269975 |
j-invariant |
L |
6.677530131577 |
L(r)(E,1)/r! |
Ω |
0.46148359032771 |
Real period |
R |
1.2058085224943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ei1 28560dp1 |
Quadratic twists by: -4 8 |