Atkin-Lehner |
3+ 7- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109557a |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62056700181 = 39 · 72 · 372 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6914,-219212] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:34:1] [182:2036:1] |
Generators of the group modulo torsion |
j |
1856785158171/3152807 |
j-invariant |
L |
8.8056547549744 |
L(r)(E,1)/r! |
Ω |
0.52362022343649 |
Real period |
R |
8.4084364575467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557d2 |
Quadratic twists by: -3 |