Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968p |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1420423437312 = -1 · 210 · 33 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,525,-57154] |
[a1,a2,a3,a4,a6] |
Generators |
[35:64:1] [67:528:1] |
Generators of the group modulo torsion |
j |
578812500/51375269 |
j-invariant |
L |
7.1864896756184 |
L(r)(E,1)/r! |
Ω |
0.40529192422115 |
Real period |
R |
2.9552729963008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936d2 22968a2 |
Quadratic twists by: -4 -3 |