Atkin-Lehner |
2- 3+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12876a |
Isogeny class |
Conductor |
12876 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52272 |
Modular degree for the optimal curve |
Δ |
-14423849712 = -1 · 24 · 33 · 293 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 5 3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214522,-38171927] |
[a1,a2,a3,a4,a6] |
Generators |
[18012:289747:27] |
Generators of the group modulo torsion |
j |
-68237210645392707328/901490607 |
j-invariant |
L |
4.505046127875 |
L(r)(E,1)/r! |
Ω |
0.11091784691015 |
Real period |
R |
6.7693436379157 |
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 |
51504g1 38628g1 |
Quadratic twists by: -4 -3 |