Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166r |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
164640 |
Modular degree for the optimal curve |
Δ |
7037674226061696 = 27 · 37 · 710 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-98491,11150537] |
[a1,a2,a3,a4,a6] |
j |
374053074241/24914304 |
j-invariant |
L |
2.8837875015556 |
L(r)(E,1)/r! |
Ω |
0.41196964307939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498p1 26166t1 |
Quadratic twists by: -3 -7 |