Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
784h |
Isogeny class |
Conductor |
784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
165288374272 = 212 · 79 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29155,-1915998] |
[a1,a2,a3,a4,a6] |
Generators |
[743:19662:1] |
Generators of the group modulo torsion |
j |
16581375 |
j-invariant |
L |
2.2075638092815 |
L(r)(E,1)/r! |
Ω |
0.36536156998801 |
Real period |
R |
6.042134670469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49a4 3136r4 7056bq4 19600cb4 |
Quadratic twists by: -4 8 -3 5 |