Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600dr |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-6192000000000 = -1 · 213 · 32 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 0 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3208,137588] |
[a1,a2,a3,a4,a6] |
j |
-456533/774 |
j-invariant |
L |
5.4018678743327 |
L(r)(E,1)/r! |
Ω |
0.67523348429669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450j1 51600cp1 |
Quadratic twists by: -4 5 |