Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294cv |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.4735914733712E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-489794,347919563] |
[a1,a2,a3,a4,a6] |
Generators |
[1174745412:-48444435527:3241792] |
Generators of the group modulo torsion |
j |
-1680914269/5786802 |
j-invariant |
L |
9.2885337448011 |
L(r)(E,1)/r! |
Ω |
0.17725473241235 |
Real period |
R |
13.10054408476 |
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 |
7098o2 21294z2 |
Quadratic twists by: -3 13 |