Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550p |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-2449610859375000 = -1 · 23 · 312 · 510 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -1 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9399492,-11089518584] |
[a1,a2,a3,a4,a6] |
Generators |
[152592165719164875338895337235:-18166189146087382658074096519099:10349761477330972741180375] |
Generators of the group modulo torsion |
j |
-12900582314233225/344088 |
j-invariant |
L |
4.0535748062388 |
L(r)(E,1)/r! |
Ω |
0.043111532437346 |
Real period |
R |
47.012650410071 |
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 |
8850r1 26550cl1 |
Quadratic twists by: -3 5 |