Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960br |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
86668185600 = 212 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3243,69658] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-216:1] [-43:360:1] |
Generators of the group modulo torsion |
j |
1263214441/29025 |
j-invariant |
L |
7.3315445147024 |
L(r)(E,1)/r! |
Ω |
1.0752190575092 |
Real period |
R |
0.85233149276653 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1935f1 123840gd1 10320bj1 |
Quadratic twists by: -4 8 -3 |