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 |
6.3080687673049E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7534499,6985036883] |
[a1,a2,a3,a4,a6] |
Generators |
[-850333:-142542024:1331] |
Generators of the group modulo torsion |
j |
1379233073341297/183927761424 |
j-invariant |
L |
12.741282874152 |
L(r)(E,1)/r! |
Ω |
0.12894994596691 |
Real period |
R |
12.350996716951 |
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 |
23826s2 3762i2 |
Quadratic twists by: -3 -19 |