Atkin-Lehner |
2- 3- 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610bf |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6643078110000 = 24 · 38 · 54 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4701,-4095] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:231:1] |
Generators of the group modulo torsion |
j |
11489476459034449/6643078110000 |
j-invariant |
L |
10.487852808847 |
L(r)(E,1)/r! |
Ω |
0.63086611892153 |
Real period |
R |
0.51951656690115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830be2 |
Quadratic twists by: -3 |