Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440eb |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-1.459759E+20 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 2 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2876945,1965154543] |
[a1,a2,a3,a4,a6] |
Generators |
[-969:62000:1] |
Generators of the group modulo torsion |
j |
-160730613290050429264/8909661865234375 |
j-invariant |
L |
4.4146236164659 |
L(r)(E,1)/r! |
Ω |
0.18096507436423 |
Real period |
R |
0.29041539217651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440bg1 17360i1 |
Quadratic twists by: -4 8 |