Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400bi |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-107163000000 = -1 · 26 · 37 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,-15500] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1026:1] |
Generators of the group modulo torsion |
j |
8000/147 |
j-invariant |
L |
6.8386767978553 |
L(r)(E,1)/r! |
Ω |
0.51504546321551 |
Real period |
R |
3.319452983403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400db1 100800fe2 16800bw1 2016k1 |
Quadratic twists by: -4 8 -3 5 |