Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bw |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.7116155791729E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21052136,37170682164] |
[a1,a2,a3,a4,a6] |
j |
251913989442882736925929/6620155222590000 |
j-invariant |
L |
3.1327282632956 |
L(r)(E,1)/r! |
Ω |
0.19579551645598 |
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 |
2730a3 87360fr4 65520ei4 109200di4 |
Quadratic twists by: -4 8 -3 5 |