Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878v |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.1845117503119E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44362116,-113494136796] |
[a1,a2,a3,a4,a6] |
Generators |
[11023:852846:1] |
Generators of the group modulo torsion |
j |
13244420128496241770842177/29965867631164664892 |
j-invariant |
L |
4.8119547466415 |
L(r)(E,1)/r! |
Ω |
0.058506690410283 |
Real period |
R |
2.5701947038542 |
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 |
10626r4 |
Quadratic twists by: -3 |