Atkin-Lehner |
3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12321h |
Isogeny class |
Conductor |
12321 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26919080973 = 312 · 373 |
Discriminant |
Eigenvalues |
-1 3- 2 0 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1589,23456] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:142:1] |
Generators of the group modulo torsion |
j |
12008989/729 |
j-invariant |
L |
3.3839777381161 |
L(r)(E,1)/r! |
Ω |
1.1673330550913 |
Real period |
R |
1.4494482630115 |
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 |
4107a2 12321g2 |
Quadratic twists by: -3 37 |