Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230w |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-210847104000 = -1 · 210 · 33 · 53 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,712,20667] |
[a1,a2,a3,a4,a6] |
Generators |
[5:153:1] |
Generators of the group modulo torsion |
j |
1480374667773/7809152000 |
j-invariant |
L |
7.6061140069975 |
L(r)(E,1)/r! |
Ω |
0.72031515583766 |
Real period |
R |
0.52797125989611 |
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 |
22230g1 111150i1 |
Quadratic twists by: -3 5 |