Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400cs |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1102248000 = 26 · 39 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-405,2700] |
[a1,a2,a3,a4,a6] |
j |
46656/7 |
j-invariant |
L |
2.9701358058275 |
L(r)(E,1)/r! |
Ω |
1.4850679028632 |
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 |
50400n1 100800cp1 50400q1 50400m1 |
Quadratic twists by: -4 8 -3 5 |