Atkin-Lehner |
2+ 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14382f |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
656228342817792 = 210 · 310 · 173 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79128,8497984] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:3719:1] |
Generators of the group modulo torsion |
j |
75160530649878913/900176053248 |
j-invariant |
L |
3.5875085006026 |
L(r)(E,1)/r! |
Ω |
0.51337488157916 |
Real period |
R |
1.1646812200756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056bf1 4794d1 |
Quadratic twists by: -4 -3 |