Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768x |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-8594995462144 = -1 · 214 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- -4 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,-141149] |
[a1,a2,a3,a4,a6] |
j |
-1024/4459 |
j-invariant |
L |
1.3331518962223 |
L(r)(E,1)/r! |
Ω |
0.33328797407051 |
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 |
40768cv1 5096k1 5824m1 |
Quadratic twists by: -4 8 -7 |