Atkin-Lehner |
2- 3- 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26418r |
Isogeny class |
Conductor |
26418 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-12216264818688 = -1 · 221 · 33 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-263773,52121009] |
[a1,a2,a3,a4,a6] |
Generators |
[296:-169:1] |
Generators of the group modulo torsion |
j |
-2029620455989878732625/12216264818688 |
j-invariant |
L |
10.432261443348 |
L(r)(E,1)/r! |
Ω |
0.63463601481755 |
Real period |
R |
0.78277050600089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
79254q1 |
Quadratic twists by: -3 |