Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300co |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
Δ |
-53250009120000 = -1 · 28 · 36 · 54 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6225,-295850] |
[a1,a2,a3,a4,a6] |
j |
228714800/456533 |
j-invariant |
L |
2.9593581775287 |
L(r)(E,1)/r! |
Ω |
0.32881757399684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7700j2 69300bi2 |
Quadratic twists by: -3 5 |