Atkin-Lehner |
2- 3+ 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bm |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4940684100000000 = 28 · 34 · 58 · 112 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52438,3128531] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:2827:1] |
Generators of the group modulo torsion |
j |
1020569444121241/316203782400 |
j-invariant |
L |
7.2699482850001 |
L(r)(E,1)/r! |
Ω |
0.40022846189 |
Real period |
R |
1.1352810001739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845934 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23430e2 |
Quadratic twists by: 5 |