Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768ce |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-8182300672 = -1 · 218 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -3 13- 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6860,-218736] |
[a1,a2,a3,a4,a6] |
Generators |
[98:224:1] |
Generators of the group modulo torsion |
j |
-56723625/13 |
j-invariant |
L |
5.0538119632377 |
L(r)(E,1)/r! |
Ω |
0.26229049880624 |
Real period |
R |
1.6056662321093 |
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 |
40768f1 10192m1 40768cj1 |
Quadratic twists by: -4 8 -7 |