Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768cp |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1433076736 = 210 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 1 3 7- -1 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289,-617] |
[a1,a2,a3,a4,a6] |
Generators |
[-270:169:125] |
Generators of the group modulo torsion |
j |
53385472/28561 |
j-invariant |
L |
8.5445488345624 |
L(r)(E,1)/r! |
Ω |
1.231063069292 |
Real period |
R |
3.4703944288864 |
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 |
40768t1 10192i1 40768cg1 |
Quadratic twists by: -4 8 -7 |