Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cq |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.0365812460773E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-481011269,-4060335485689] |
[a1,a2,a3,a4,a6] |
Generators |
[-27060071493886850678086275782180:26937197536954532089258132437363:2133356722307728011045671104] |
Generators of the group modulo torsion |
j |
358872624127382648977/5938169721462 |
j-invariant |
L |
12.741282874152 |
L(r)(E,1)/r! |
Ω |
0.032237486491727 |
Real period |
R |
49.403986867804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23826s6 3762i5 |
Quadratic twists by: -3 -19 |