Atkin-Lehner |
2- 3+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158bc |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
45130176 = 26 · 33 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -3 13- -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2438,46933] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-37:1] |
Generators of the group modulo torsion |
j |
59332690053027/1671488 |
j-invariant |
L |
7.6338701873421 |
L(r)(E,1)/r! |
Ω |
1.8799617075278 |
Real period |
R |
0.16919383154758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67158e1 |
Quadratic twists by: -3 |