Atkin-Lehner |
3+ 5- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59985c |
Isogeny class |
Conductor |
59985 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
12708759515625 = 39 · 56 · 312 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8372,241894] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:386:1] |
Generators of the group modulo torsion |
j |
3296639403387/645671875 |
j-invariant |
L |
4.9536430317556 |
L(r)(E,1)/r! |
Ω |
0.67394214829712 |
Real period |
R |
1.225041606364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59985a2 |
Quadratic twists by: -3 |