Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294d |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5.6063103655634E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 6 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-205558872,-1190140818112] |
[a1,a2,a3,a4,a6] |
Generators |
[2154588921369889119960172575018047133104467552996025760546791:348191055629260338096505827239590196042387378981435331606849110:64354351655017051218906408273728979359977895414931160097] |
Generators of the group modulo torsion |
j |
-354003515818875/20661046784 |
j-invariant |
L |
3.7616475114508 |
L(r)(E,1)/r! |
Ω |
0.019868630410554 |
Real period |
R |
94.662979624724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21294bp1 21294bw2 |
Quadratic twists by: -3 13 |