Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854o |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8389341397849104 = 24 · 32 · 78 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-107384,-12816336] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:604:1] |
Generators of the group modulo torsion |
j |
136943901430120100737/8389341397849104 |
j-invariant |
L |
6.4921984580675 |
L(r)(E,1)/r! |
Ω |
0.26474437622447 |
Real period |
R |
3.0653146209624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832bf4 23562h4 54978bq4 86394bh4 |
Quadratic twists by: -4 -3 -7 -11 |