Atkin-Lehner |
2- 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
14008d |
Isogeny class |
Conductor |
14008 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
13343236352 = 28 · 173 · 1032 |
Discriminant |
Eigenvalues |
2- 0 0 -2 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1775,28242] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:238:1] [9:114:1] |
Generators of the group modulo torsion |
j |
2415899250000/52122017 |
j-invariant |
L |
6.1735672718231 |
L(r)(E,1)/r! |
Ω |
1.2574695326442 |
Real period |
R |
0.81825273052426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28016b1 112064g1 126072g1 |
Quadratic twists by: -4 8 -3 |