Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465s |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2547034875 = -1 · 37 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7572,253620] |
[a1,a2,a3,a4,a6] |
Generators |
[50:4:1] |
Generators of the group modulo torsion |
j |
-65860951343104/3493875 |
j-invariant |
L |
3.1406772183027 |
L(r)(E,1)/r! |
Ω |
1.3645344442059 |
Real period |
R |
1.150823722933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55440ee2 1155j2 17325m2 24255bg2 |
Quadratic twists by: -4 -3 5 -7 |