Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3354a |
Isogeny class |
Conductor |
3354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
70091892 = 22 · 36 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 6 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-301,1849] |
[a1,a2,a3,a4,a6] |
Generators |
[0:43:1] |
Generators of the group modulo torsion |
j |
3031626441817/70091892 |
j-invariant |
L |
2.1247116155688 |
L(r)(E,1)/r! |
Ω |
1.9460354454856 |
Real period |
R |
0.5459077378312 |
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 |
26832u2 107328ba2 10062j2 83850ck2 |
Quadratic twists by: -4 8 -3 5 |