Atkin-Lehner |
2+ 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648c |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25099299145728 = 211 · 37 · 194 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50619,4376842] |
[a1,a2,a3,a4,a6] |
Generators |
[159:590:1] |
Generators of the group modulo torsion |
j |
9607423061234/16811409 |
j-invariant |
L |
5.2291623962395 |
L(r)(E,1)/r! |
Ω |
0.67151600895222 |
Real period |
R |
3.8935500398281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58824j4 39216e4 |
Quadratic twists by: -4 -3 |