Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312bn |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9689628672 = 218 · 33 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876,8784] |
[a1,a2,a3,a4,a6] |
Generators |
[10:32:1] |
Generators of the group modulo torsion |
j |
10503459/1369 |
j-invariant |
L |
5.2023862987602 |
L(r)(E,1)/r! |
Ω |
1.2451545654316 |
Real period |
R |
1.0445262064627 |
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 |
21312h2 5328i2 21312bj2 |
Quadratic twists by: -4 8 -3 |