Atkin-Lehner |
3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745m |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8948411487345 = 3 · 5 · 1110 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-222945,40424550] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:7350:1] |
Generators of the group modulo torsion |
j |
691768740750121/5051145 |
j-invariant |
L |
3.230637074464 |
L(r)(E,1)/r! |
Ω |
0.65512989649875 |
Real period |
R |
1.2328230980333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235u4 3795c3 |
Quadratic twists by: -3 -11 |