Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18130p |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1803888587200 = -1 · 26 · 52 · 77 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4656,137920] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:466:1] [-52:516:1] |
Generators of the group modulo torsion |
j |
-94881210481/15332800 |
j-invariant |
L |
7.1585868981944 |
L(r)(E,1)/r! |
Ω |
0.80598173627184 |
Real period |
R |
0.37007594672198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90650h1 2590e1 |
Quadratic twists by: 5 -7 |