Atkin-Lehner |
2+ 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166c |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-13424918683974 = -1 · 2 · 3 · 710 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 1 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-644718,-199521006] |
[a1,a2,a3,a4,a6] |
Generators |
[37100865:43471938899:27] |
Generators of the group modulo torsion |
j |
-104918905417081/47526 |
j-invariant |
L |
2.373350572825 |
L(r)(E,1)/r! |
Ω |
0.084241678328601 |
Real period |
R |
14.086557983611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498bs1 26166g1 |
Quadratic twists by: -3 -7 |