Atkin-Lehner |
7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2821b |
Isogeny class |
Conductor |
2821 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1469788957 = -1 · 76 · 13 · 312 |
Discriminant |
Eigenvalues |
1 0 0 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-152,-1943] |
[a1,a2,a3,a4,a6] |
j |
-389816897625/1469788957 |
j-invariant |
L |
1.865621238788 |
L(r)(E,1)/r! |
Ω |
0.62187374626266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45136e2 25389j2 70525g2 19747b2 |
Quadratic twists by: -4 -3 5 -7 |