Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14144v |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
4.4587984622614E+22 |
Discriminant |
Eigenvalues |
2- 2 -4 4 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9276865,-3878142879] |
[a1,a2,a3,a4,a6] |
Generators |
[-3123222960:-148157597679:1771561] |
Generators of the group modulo torsion |
j |
336811992790162430449/170089663019614208 |
j-invariant |
L |
5.7695948010354 |
L(r)(E,1)/r! |
Ω |
0.091228301133705 |
Real period |
R |
15.810868802049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144i1 3536h1 127296dx1 |
Quadratic twists by: -4 8 -3 |