Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840i |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
103587629414400 = 211 · 316 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14403,-450398] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:270:1] |
Generators of the group modulo torsion |
j |
221322268802/69382575 |
j-invariant |
L |
5.1784342717026 |
L(r)(E,1)/r! |
Ω |
0.44652569267529 |
Real period |
R |
2.8992924464639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16920d2 11280g2 |
Quadratic twists by: -4 -3 |