Atkin-Lehner |
2- 3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854k |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
103489707552 = 25 · 3 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-95794,-11451745] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:91:1] |
Generators of the group modulo torsion |
j |
97216262371893028897/103489707552 |
j-invariant |
L |
4.5414536888697 |
L(r)(E,1)/r! |
Ω |
0.27137196649179 |
Real period |
R |
1.6735161511265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832ca4 23562j4 54978bx4 86394j4 |
Quadratic twists by: -4 -3 -7 -11 |