Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fh |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.1175594717678E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7869857,-8479782975] |
[a1,a2,a3,a4,a6] |
Generators |
[-40266521976193:-97070504062840:24922675961] |
Generators of the group modulo torsion |
j |
6991270724335972/14494474449 |
j-invariant |
L |
7.1843127918594 |
L(r)(E,1)/r! |
Ω |
0.090149211870901 |
Real period |
R |
19.92339340182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999164673 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304di2 30576bd2 17472ct2 |
Quadratic twists by: -4 8 -7 |