Atkin-Lehner |
2- 3+ 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41820b |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-5054356836000000 = -1 · 28 · 32 · 56 · 174 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 6 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-493660,133711192] |
[a1,a2,a3,a4,a6] |
Generators |
[214:6150:1] |
Generators of the group modulo torsion |
j |
-51971881936430658256/19743581390625 |
j-invariant |
L |
6.8984247430115 |
L(r)(E,1)/r! |
Ω |
0.42377459601449 |
Real period |
R |
0.45218120984642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125460p2 |
Quadratic twists by: -3 |