Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512k |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-14238412812288 = -1 · 212 · 32 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1093,-181715] |
[a1,a2,a3,a4,a6] |
Generators |
[4132:7203:64] |
Generators of the group modulo torsion |
j |
-35287552000/3476175003 |
j-invariant |
L |
3.7221164151788 |
L(r)(E,1)/r! |
Ω |
0.31145793076147 |
Real period |
R |
2.9876558337099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1407f1 90048bk1 67536bp1 |
Quadratic twists by: -4 8 -3 |