Atkin-Lehner |
2- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550t |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
77280 |
Modular degree for the optimal curve |
Δ |
-44859521027200 = -1 · 27 · 52 · 112 · 415 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 11+ 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21698,1262671] |
[a1,a2,a3,a4,a6] |
Generators |
[221:2595:1] |
Generators of the group modulo torsion |
j |
-45190179771474505/1794380841088 |
j-invariant |
L |
11.060785713299 |
L(r)(E,1)/r! |
Ω |
0.63477281147998 |
Real period |
R |
0.24892563389301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22550m1 |
Quadratic twists by: 5 |