Atkin-Lehner |
2- 3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
43260d |
Isogeny class |
Conductor |
43260 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
15023657250000 = 24 · 35 · 56 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6301,-49960] |
[a1,a2,a3,a4,a6] |
j |
1729422445379584/938978578125 |
j-invariant |
L |
2.8572937612223 |
L(r)(E,1)/r! |
Ω |
0.5714587522355 |
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 |
129780p1 |
Quadratic twists by: -3 |