Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462h |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-81286772503734 = -1 · 2 · 33 · 710 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10461,140715] |
[a1,a2,a3,a4,a6] |
Generators |
[77:1149:1] |
Generators of the group modulo torsion |
j |
1075945339223/690926166 |
j-invariant |
L |
3.8325825742303 |
L(r)(E,1)/r! |
Ω |
0.37944716350584 |
Real period |
R |
5.0502190328949 |
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 |
64386cg2 3066f2 |
Quadratic twists by: -3 -7 |