Atkin-Lehner |
3- 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725bp |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
8619241640625 = 34 · 57 · 73 · 11 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8401,259823] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:5833:8] |
Generators of the group modulo torsion |
j |
4195872914689/551631465 |
j-invariant |
L |
10.323845193628 |
L(r)(E,1)/r! |
Ω |
0.70685971982066 |
Real period |
R |
1.8256531219734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999606019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945e1 |
Quadratic twists by: 5 |