Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960v |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
118886400 = 212 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
1860867/1075 |
j-invariant |
L |
5.8896644660744 |
L(r)(E,1)/r! |
Ω |
1.5661764798971 |
Real period |
R |
0.94013422843339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1935b1 123840eb1 30960bb1 |
Quadratic twists by: -4 8 -3 |