Atkin-Lehner |
2+ 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334o |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
21638917203772176 = 24 · 36 · 76 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69711,331037] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:1729:1] |
Generators of the group modulo torsion |
j |
51392959346614257/29683013996944 |
j-invariant |
L |
4.2777892590596 |
L(r)(E,1)/r! |
Ω |
0.32466522823033 |
Real period |
R |
1.6470000815828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2926a2 |
Quadratic twists by: -3 |