Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960q |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
761732100000000 = 28 · 311 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38847,-2630914] |
[a1,a2,a3,a4,a6] |
j |
34739908901584/4081640625 |
j-invariant |
L |
2.741377415992 |
L(r)(E,1)/r! |
Ω |
0.3426721769991 |
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 |
15480n1 123840ez1 10320d1 |
Quadratic twists by: -4 8 -3 |