Atkin-Lehner |
2- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
105710j |
Isogeny class |
Conductor |
105710 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
609000 |
Modular degree for the optimal curve |
Δ |
-976254049100000 = -1 · 25 · 55 · 11 · 316 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11+ 6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9590,1459972] |
[a1,a2,a3,a4,a6] |
j |
109902239/1100000 |
j-invariant |
L |
9.0899413439737 |
L(r)(E,1)/r! |
Ω |
0.36359763801428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110a1 |
Quadratic twists by: -31 |