Atkin-Lehner |
3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
735a |
Isogeny class |
Conductor |
735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1544143125 = 3 · 54 · 77 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5513,155268] |
[a1,a2,a3,a4,a6] |
j |
157551496201/13125 |
j-invariant |
L |
1.437375972542 |
L(r)(E,1)/r! |
Ω |
1.437375972542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11760ce3 47040df4 2205k3 3675l3 |
Quadratic twists by: -4 8 -3 5 |