Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
7200br |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
91125000000 = 26 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1125,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
1.8109817799657 |
L(r)(E,1)/r! |
Ω |
0.90549088998284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7200br1 14400ek2 800d1 7200q1 |
Quadratic twists by: -4 8 -3 5 |