Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26520s |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-416022667710000 = -1 · 24 · 3 · 54 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1105,-981600] |
[a1,a2,a3,a4,a6] |
Generators |
[2955:17875:27] |
Generators of the group modulo torsion |
j |
9317458724864/26001416731875 |
j-invariant |
L |
5.3645500360342 |
L(r)(E,1)/r! |
Ω |
0.24642311207751 |
Real period |
R |
5.4424177087202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53040ba1 79560g1 |
Quadratic twists by: -4 -3 |