Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21300a |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-6871891200 = -1 · 28 · 3 · 52 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-548,-6168] |
[a1,a2,a3,a4,a6] |
j |
-2848903120/1073733 |
j-invariant |
L |
1.452635522891 |
L(r)(E,1)/r! |
Ω |
0.48421184096365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200db2 63900k2 21300o2 |
Quadratic twists by: -4 -3 5 |