Atkin-Lehner |
2- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85312m |
Isogeny class |
Conductor |
85312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30208 |
Modular degree for the optimal curve |
Δ |
43679744 = 215 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 0 1 -4 3 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1292,17872] |
[a1,a2,a3,a4,a6] |
Generators |
[12:64:1] [16:36:1] |
Generators of the group modulo torsion |
j |
7278825672/1333 |
j-invariant |
L |
10.332045527102 |
L(r)(E,1)/r! |
Ω |
1.9660843828778 |
Real period |
R |
2.627569197237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85312v1 42656b1 |
Quadratic twists by: -4 8 |