Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712j |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-352628593967104 = -1 · 214 · 73 · 137 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ 4 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-901,903837] |
[a1,a2,a3,a4,a6] |
Generators |
[4814268:96065853:12167] |
Generators of the group modulo torsion |
j |
-1024/4459 |
j-invariant |
L |
8.499067018699 |
L(r)(E,1)/r! |
Ω |
0.43206039600728 |
Real period |
R |
9.8355080632818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712da1 9464b1 5824m1 |
Quadratic twists by: -4 8 13 |