Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6468r |
Isogeny class |
Conductor |
6468 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-490914369792 = -1 · 28 · 35 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1748,19172] |
[a1,a2,a3,a4,a6] |
Generators |
[164:2178:1] |
Generators of the group modulo torsion |
j |
47061251888/39135393 |
j-invariant |
L |
5.4058122879653 |
L(r)(E,1)/r! |
Ω |
0.60293640185316 |
Real period |
R |
0.11954411269802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25872bl1 103488y1 19404t1 6468b1 |
Quadratic twists by: -4 8 -3 -7 |