Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110cu |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
2323200 |
Modular degree for the optimal curve |
Δ |
-669078375265300000 = -1 · 25 · 55 · 74 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-339710,85629787] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:12861:1] |
Generators of the group modulo torsion |
j |
-20225874341761/3121300000 |
j-invariant |
L |
17.314673262843 |
L(r)(E,1)/r! |
Ω |
0.27717072064482 |
Real period |
R |
0.20823114862714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110be1 |
Quadratic twists by: -11 |