Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12996k |
Isogeny class |
Conductor |
12996 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-4877922781734955776 = -1 · 28 · 310 · 199 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -1 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-329232,-128757148] |
[a1,a2,a3,a4,a6] |
Generators |
[373996:9753498:343] |
Generators of the group modulo torsion |
j |
-65536/81 |
j-invariant |
L |
5.4197213297848 |
L(r)(E,1)/r! |
Ω |
0.095194519684859 |
Real period |
R |
4.744426944365 |
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 |
51984ca1 4332a1 12996l1 |
Quadratic twists by: -4 -3 -19 |