Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050o |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2043266006250000 = 24 · 34 · 58 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62751,-5651102] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:396:1] |
Generators of the group modulo torsion |
j |
1748862601244641/130769024400 |
j-invariant |
L |
5.700806907441 |
L(r)(E,1)/r! |
Ω |
0.30307006759274 |
Real period |
R |
2.3512743079189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129150cn2 8610o2 |
Quadratic twists by: -3 5 |