Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1914d |
Isogeny class |
Conductor |
1914 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
388308257175168 = 27 · 310 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26535,-1378251] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:592:1] |
Generators of the group modulo torsion |
j |
2066362734323877625/388308257175168 |
j-invariant |
L |
1.9410781091714 |
L(r)(E,1)/r! |
Ω |
0.37892649594607 |
Real period |
R |
1.7075238689103 |
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 |
15312s2 61248o2 5742t2 47850cq2 |
Quadratic twists by: -4 8 -3 5 |