Atkin-Lehner |
2+ 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430n |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
691870047120 = 24 · 310 · 5 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5220,-138240] |
[a1,a2,a3,a4,a6] |
j |
21580151584321/949067280 |
j-invariant |
L |
2.252772369062 |
L(r)(E,1)/r! |
Ω |
0.56319309227279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810w1 |
Quadratic twists by: -3 |