Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304bb |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
849379328 = 215 · 72 · 232 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257,-833] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:28:1] |
Generators of the group modulo torsion |
j |
57512456/25921 |
j-invariant |
L |
3.0105796133625 |
L(r)(E,1)/r! |
Ω |
1.2434636990603 |
Real period |
R |
1.2105619229727 |
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 |
10304bf2 5152d2 92736dy2 72128cc2 |
Quadratic twists by: -4 8 -3 -7 |