Atkin-Lehner |
2+ 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
26166b |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
30143232 = 28 · 33 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -3 2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-221,1149] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:51:1] [1:30:1] |
Generators of the group modulo torsion |
j |
24534169513/615168 |
j-invariant |
L |
4.7221271562929 |
L(r)(E,1)/r! |
Ω |
2.085926436444 |
Real period |
R |
1.1319016514174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498cd1 26166k1 |
Quadratic twists by: -3 -7 |