Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
76296r |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
13866164438016 = 210 · 3 · 11 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53272,-4711460] |
[a1,a2,a3,a4,a6] |
Generators |
[361572204:9908998795:438976] |
Generators of the group modulo torsion |
j |
676449508/561 |
j-invariant |
L |
4.8789072019007 |
L(r)(E,1)/r! |
Ω |
0.31426480512717 |
Real period |
R |
15.524828497955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4488g1 |
Quadratic twists by: 17 |