Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600cp |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-396288000 = -1 · 213 · 32 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 0 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,1152] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-24:1] [-8:40:1] |
Generators of the group modulo torsion |
j |
-456533/774 |
j-invariant |
L |
7.1921675323412 |
L(r)(E,1)/r! |
Ω |
1.5098679715714 |
Real period |
R |
0.29771508452051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450bl1 51600dr1 |
Quadratic twists by: -4 5 |