Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bw |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-685187776 = -1 · 26 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 0 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1437,-21491] |
[a1,a2,a3,a4,a6] |
Generators |
[44:49:1] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
2.7301410419808 |
L(r)(E,1)/r! |
Ω |
0.38763759247992 |
Real period |
R |
1.7607561127612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768dy1 637b1 5824j1 |
Quadratic twists by: -4 8 -7 |