Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840r |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28315526400 = 28 · 37 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1263,-15262] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:36:1] |
Generators of the group modulo torsion |
j |
1193895376/151725 |
j-invariant |
L |
4.700079556454 |
L(r)(E,1)/r! |
Ω |
0.80754053737496 |
Real period |
R |
1.4550599440289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680j2 14280bm2 |
Quadratic twists by: -4 -3 |