Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600cr |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-74358000 = -1 · 24 · 37 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 3 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] [5:25:1] |
Generators of the group modulo torsion |
j |
87808/51 |
j-invariant |
L |
7.676859863402 |
L(r)(E,1)/r! |
Ω |
1.1488984268688 |
Real period |
R |
0.41762067928867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200cl1 10200o1 30600bj1 |
Quadratic twists by: -4 -3 5 |