Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504f |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-77045726444544 = -1 · 210 · 33 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10608,-42480] |
[a1,a2,a3,a4,a6] |
Generators |
[17895:465850:27] |
Generators of the group modulo torsion |
j |
72765788/42471 |
j-invariant |
L |
7.4605194020895 |
L(r)(E,1)/r! |
Ω |
0.36071953689053 |
Real period |
R |
5.1705817377294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752k1 6864b1 |
Quadratic twists by: -4 -11 |