Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22022m |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3238339336284052 = -1 · 22 · 74 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18611,2552905] |
[a1,a2,a3,a4,a6] |
Generators |
[15355:315366:125] |
Generators of the group modulo torsion |
j |
402437650887/1827958132 |
j-invariant |
L |
8.3945734803754 |
L(r)(E,1)/r! |
Ω |
0.32086762979167 |
Real period |
R |
6.5405269190178 |
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 |
2002b4 |
Quadratic twists by: -11 |