Atkin-Lehner |
2- 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932g |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-181488384 = -1 · 28 · 33 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,-604] |
[a1,a2,a3,a4,a6] |
Generators |
[8:22:1] |
Generators of the group modulo torsion |
j |
5971968/26257 |
j-invariant |
L |
6.3779409211409 |
L(r)(E,1)/r! |
Ω |
0.90958500428802 |
Real period |
R |
0.58432699967069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85932m1 |
Quadratic twists by: -3 |