Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
3408d |
Isogeny class |
Conductor |
3408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
30971904 = 211 · 3 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104,276] |
[a1,a2,a3,a4,a6] |
Generators |
[12:30:1] |
Generators of the group modulo torsion |
j |
61328594/15123 |
j-invariant |
L |
3.8444512814089 |
L(r)(E,1)/r! |
Ω |
1.9570717088907 |
Real period |
R |
1.964389584676 |
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 |
1704a2 13632o2 10224b2 85200l2 |
Quadratic twists by: -4 8 -3 5 |