Atkin-Lehner |
3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
119925s |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3608064 |
Modular degree for the optimal curve |
Δ |
636010133939975925 = 324 · 52 · 133 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 -3 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2421930,-1450235534] |
[a1,a2,a3,a4,a6] |
Generators |
[-444405494:343291990:493039] |
Generators of the group modulo torsion |
j |
86206683096332861440/34897675387653 |
j-invariant |
L |
3.2062825868608 |
L(r)(E,1)/r! |
Ω |
0.12102350017447 |
Real period |
R |
13.246528779914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39975a1 119925bt1 |
Quadratic twists by: -3 5 |