Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cq |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.8533825339002E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30992279,-59306649397] |
[a1,a2,a3,a4,a6] |
Generators |
[-206324240053811:-2993191232144160:85824478531] |
Generators of the group modulo torsion |
j |
95992014075197617/11235515171364 |
j-invariant |
L |
12.741282874152 |
L(r)(E,1)/r! |
Ω |
0.064474972983454 |
Real period |
R |
24.701993433902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998789 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23826s4 3762i3 |
Quadratic twists by: -3 -19 |