Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
39072a |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
38794592941632 = 26 · 35 · 113 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106898,-13413576] |
[a1,a2,a3,a4,a6] |
j |
2110845954540952000/606165514713 |
j-invariant |
L |
2.1122936449101 |
L(r)(E,1)/r! |
Ω |
0.26403670561029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39072q1 78144bi1 117216bf1 |
Quadratic twists by: -4 8 -3 |