Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
7200by |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-206624260800000000 = -1 · 212 · 317 · 58 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 -7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39000,-22070000] |
[a1,a2,a3,a4,a6] |
j |
-5624320/177147 |
j-invariant |
L |
0.55118554853053 |
L(r)(E,1)/r! |
Ω |
0.13779638713263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7200bx1 14400fd1 2400p1 7200l1 |
Quadratic twists by: -4 8 -3 5 |