Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ij |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
7.8789324878503E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4075297,3136266335] |
[a1,a2,a3,a4,a6] |
Generators |
[-1195:79380:1] |
Generators of the group modulo torsion |
j |
242702053576633/2554695936 |
j-invariant |
L |
10.218403976844 |
L(r)(E,1)/r! |
Ω |
0.19382265347218 |
Real period |
R |
2.6360190190454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999602232 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304by2 30576br2 2496u2 |
Quadratic twists by: -4 8 -7 |