Atkin-Lehner |
3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22575g |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.7657345080158E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1086463,-2984907844] |
[a1,a2,a3,a4,a6] |
Generators |
[47703:645419:27] |
Generators of the group modulo torsion |
j |
-9077129544198898729/241007008513014135 |
j-invariant |
L |
2.2232710098669 |
L(r)(E,1)/r! |
Ω |
0.060646691421994 |
Real period |
R |
9.1648487235555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67725z3 4515f4 |
Quadratic twists by: -3 5 |