Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fo |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
1.6278823803084E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1590881,-468163839] |
[a1,a2,a3,a4,a6] |
Generators |
[15093211223122173634:385446174848121599483:8726802259388968] |
Generators of the group modulo torsion |
j |
1698623579042432281/620987846492160 |
j-invariant |
L |
4.4680165999722 |
L(r)(E,1)/r! |
Ω |
0.13854491456525 |
Real period |
R |
32.249589487717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999544141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dv1 28560dt1 |
Quadratic twists by: -4 8 |