Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225d |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16319296875 = 3 · 57 · 74 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58025,5355750] |
[a1,a2,a3,a4,a6] |
Generators |
[1118:-381:8] |
Generators of the group modulo torsion |
j |
1382804639990929/1044435 |
j-invariant |
L |
4.1481024840425 |
L(r)(E,1)/r! |
Ω |
1.0282884268055 |
Real period |
R |
4.0339873287585 |
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 |
45675u4 3045g3 106575cc4 |
Quadratic twists by: -3 5 -7 |