Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bf |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-235019407168 = -1 · 26 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49,23324] |
[a1,a2,a3,a4,a6] |
Generators |
[-456:3590:27] |
Generators of the group modulo torsion |
j |
1728/31213 |
j-invariant |
L |
4.7278642169067 |
L(r)(E,1)/r! |
Ω |
0.78212680771091 |
Real period |
R |
6.044881942795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40768bg1 20384c4 5824b1 |
Quadratic twists by: -4 8 -7 |