Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600cn |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-1805587200000000 = -1 · 214 · 38 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -1 -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5094208,4427206912] |
[a1,a2,a3,a4,a6] |
Generators |
[1306:162:1] [1792:32400:1] |
Generators of the group modulo torsion |
j |
-9137635610327905/1128492 |
j-invariant |
L |
7.8467644974851 |
L(r)(E,1)/r! |
Ω |
0.36489414518138 |
Real period |
R |
0.89600922636351 |
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 |
6450bj1 51600cs1 |
Quadratic twists by: -4 5 |