Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296dx |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
48660480 |
Modular degree for the optimal curve |
Δ |
3.2504640789885E+25 |
Discriminant |
Eigenvalues |
2- 3- 4 4 2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83491788,104793349520] |
[a1,a2,a3,a4,a6] |
Generators |
[-229780:62756928:125] |
Generators of the group modulo torsion |
j |
336811992790162430449/170089663019614208 |
j-invariant |
L |
12.458206426572 |
L(r)(E,1)/r! |
Ω |
0.058090350698046 |
Real period |
R |
5.361564413396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000115585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296by1 31824bh1 14144v1 |
Quadratic twists by: -4 8 -3 |