Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12792c |
Isogeny class |
Conductor |
12792 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2912 |
Modular degree for the optimal curve |
Δ |
-18650736 = -1 · 24 · 37 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 2 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92,369] |
[a1,a2,a3,a4,a6] |
Generators |
[4:9:1] |
Generators of the group modulo torsion |
j |
-5441006848/1165671 |
j-invariant |
L |
5.1805321648598 |
L(r)(E,1)/r! |
Ω |
2.0816422366743 |
Real period |
R |
0.1777625401985 |
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 |
25584b1 102336s1 38376q1 |
Quadratic twists by: -4 8 -3 |