Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768de |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1.02601316475E+19 |
Discriminant |
Eigenvalues |
2- -3 0 7- -5 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69580,154273168] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:12544:1] |
Generators of the group modulo torsion |
j |
-1207949625/332678528 |
j-invariant |
L |
2.3056879348563 |
L(r)(E,1)/r! |
Ω |
0.18617387382596 |
Real period |
R |
1.5480743131892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768ba1 10192bl1 5824x1 |
Quadratic twists by: -4 8 -7 |