Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054f |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
-2.5511889074667E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12420937,18513770437] |
[a1,a2,a3,a4,a6] |
Generators |
[94002:28754023:1] |
Generators of the group modulo torsion |
j |
-5251755315347555743/632208394027008 |
j-invariant |
L |
3.1276955781736 |
L(r)(E,1)/r! |
Ω |
0.11579611234614 |
Real period |
R |
2.2508639789392 |
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 |
96432cw1 36162ci1 12054m1 |
Quadratic twists by: -4 -3 -7 |