Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462l |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-538001174592 = -1 · 26 · 32 · 74 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 3 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1934,-12988] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-919:1] |
Generators of the group modulo torsion |
j |
333444626375/224073792 |
j-invariant |
L |
4.8579064920114 |
L(r)(E,1)/r! |
Ω |
0.52528020326373 |
Real period |
R |
0.25689497940696 |
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 |
64386bh2 21462d2 |
Quadratic twists by: -3 -7 |