Atkin-Lehner |
2+ 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48312d |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-7638706944 = -1 · 28 · 36 · 11 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11+ -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,196] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-122:1] [6:58:1] |
Generators of the group modulo torsion |
j |
70575104/40931 |
j-invariant |
L |
8.9080809296607 |
L(r)(E,1)/r! |
Ω |
0.79207009882078 |
Real period |
R |
1.4058226890087 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96624k1 5368b1 |
Quadratic twists by: -4 -3 |