Atkin-Lehner |
5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40535h |
Isogeny class |
Conductor |
40535 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39072 |
Modular degree for the optimal curve |
Δ |
-359051125675 = -1 · 52 · 118 · 67 |
Discriminant |
Eigenvalues |
0 -2 5- 4 11- -4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1775,-1171] |
[a1,a2,a3,a4,a6] |
Generators |
[161:2117:1] |
Generators of the group modulo torsion |
j |
2883584/1675 |
j-invariant |
L |
4.1127235408982 |
L(r)(E,1)/r! |
Ω |
0.56656026300814 |
Real period |
R |
1.209851746122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40535i1 |
Quadratic twists by: -11 |