Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19680n |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
2075625000000 = 26 · 34 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3386,-29664] |
[a1,a2,a3,a4,a6] |
j |
67101596779456/32431640625 |
j-invariant |
L |
1.3136804727239 |
L(r)(E,1)/r! |
Ω |
0.65684023636197 |
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 |
19680h1 39360bf2 59040z1 98400t1 |
Quadratic twists by: -4 8 -3 5 |