Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304cc |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9.6360995269776E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2211729,1175381649] |
[a1,a2,a3,a4,a6] |
Generators |
[-1360:40817:1] |
Generators of the group modulo torsion |
j |
620742479063632/49991146569 |
j-invariant |
L |
5.7407049698106 |
L(r)(E,1)/r! |
Ω |
0.1854355459496 |
Real period |
R |
3.869744125053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093534 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304in2 15288bc2 17472bh2 |
Quadratic twists by: -4 8 -7 |