Atkin-Lehner |
2- 3- 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22110n |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-2124234450439200 = -1 · 25 · 32 · 52 · 114 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27084,-1402704] |
[a1,a2,a3,a4,a6] |
Generators |
[78:1050:1] |
Generators of the group modulo torsion |
j |
2197157173747929791/2124234450439200 |
j-invariant |
L |
9.2367549416454 |
L(r)(E,1)/r! |
Ω |
0.25298564752218 |
Real period |
R |
1.8255492025167 |
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 |
66330w3 110550e3 |
Quadratic twists by: -3 5 |