Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
1236b |
Isogeny class |
Conductor |
1236 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
-79104 = -1 · 28 · 3 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 0 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
21296/309 |
j-invariant |
L |
2.7283012937911 |
L(r)(E,1)/r! |
Ω |
1.6786215182555 |
Real period |
R |
1.6253224828349 |
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 |
4944g1 19776b1 3708a1 30900c1 |
Quadratic twists by: -4 8 -3 5 |