Atkin-Lehner |
2+ 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450k |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-20857500 = -1 · 22 · 34 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -2 -3 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25,225] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:11:1] [0:15:1] |
Generators of the group modulo torsion |
j |
2595575/33372 |
j-invariant |
L |
4.1766472669326 |
L(r)(E,1)/r! |
Ω |
1.5945315707532 |
Real period |
R |
0.21827974139551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600cy1 46350cj1 15450bg1 |
Quadratic twists by: -4 -3 5 |