Atkin-Lehner |
2+ 3- 7+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26418f |
Isogeny class |
Conductor |
26418 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-5177928 = -1 · 23 · 3 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 5 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73,-268] |
[a1,a2,a3,a4,a6] |
Generators |
[72:571:1] |
Generators of the group modulo torsion |
j |
-42180533641/5177928 |
j-invariant |
L |
3.5298870812309 |
L(r)(E,1)/r! |
Ω |
0.81241538274012 |
Real period |
R |
4.3449289073347 |
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 |
79254bd1 |
Quadratic twists by: -3 |