Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15300bf |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2844193500000000 = 28 · 39 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168375,26468750] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:6750:1] |
Generators of the group modulo torsion |
j |
1448301584/7803 |
j-invariant |
L |
4.7965808006467 |
L(r)(E,1)/r! |
Ω |
0.45504866034046 |
Real period |
R |
0.87840071086352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200hb2 5100h2 15300ba2 |
Quadratic twists by: -4 -3 5 |