Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20280n |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-25450798495200000 = -1 · 28 · 3 · 55 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 13- 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-284145,-58896525] |
[a1,a2,a3,a4,a6] |
j |
-934577152/9375 |
j-invariant |
L |
4.13318334676 |
L(r)(E,1)/r! |
Ω |
0.103329583669 |
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 |
40560n1 60840bo1 101400ck1 20280ba1 |
Quadratic twists by: -4 -3 5 13 |