Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470bi |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4.6952316846193E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12308211,12943106541] |
[a1,a2,a3,a4,a6] |
Generators |
[-3942:16455:1] |
Generators of the group modulo torsion |
j |
206209425649847696943008689/46952316846193052812500 |
j-invariant |
L |
10.832705642693 |
L(r)(E,1)/r! |
Ω |
0.10673300786477 |
Real period |
R |
4.228895485491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410p2 |
Quadratic twists by: -3 |