Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4350c |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-117450 = -1 · 2 · 34 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5,15] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
-744385/4698 |
j-invariant |
L |
1.9687932102211 |
L(r)(E,1)/r! |
Ω |
2.8619457099021 |
Real period |
R |
0.34396061452341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800da1 13050bo1 4350x1 126150cz1 |
Quadratic twists by: -4 -3 5 29 |