Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
300b |
Isogeny class |
Conductor |
300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-300000000 = -1 · 28 · 3 · 58 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30333,-2043537] |
[a1,a2,a3,a4,a6] |
j |
-30866268160/3 |
j-invariant |
L |
1.6279161494129 |
L(r)(E,1)/r! |
Ω |
0.18087957215699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1200l2 4800j2 900f2 300a2 |
Quadratic twists by: -4 8 -3 5 |