Atkin-Lehner |
2- 3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81396k |
Isogeny class |
Conductor |
81396 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
1.342982538774E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 2 7 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14288664,-11014118876] |
[a1,a2,a3,a4,a6] |
Generators |
[-2152:98838:1] |
Generators of the group modulo torsion |
j |
1728745609175292977152/719619415923990141 |
j-invariant |
L |
5.6756439375799 |
L(r)(E,1)/r! |
Ω |
0.080568487362273 |
Real period |
R |
0.33545219467785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27132d1 |
Quadratic twists by: -3 |