Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800bu |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-252928000000 = -1 · 216 · 56 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1525,-7750] |
[a1,a2,a3,a4,a6] |
Generators |
[3810:46900:27] |
Generators of the group modulo torsion |
j |
6128487/3952 |
j-invariant |
L |
6.3932430548996 |
L(r)(E,1)/r! |
Ω |
0.56347955510822 |
Real period |
R |
5.6730035563095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350s1 3952d1 |
Quadratic twists by: -4 5 |