Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725ca |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-9170560546875 = -1 · 34 · 59 · 73 · 132 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -5 13+ -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4333,-183881] |
[a1,a2,a3,a4,a6] |
Generators |
[83:187:1] |
Generators of the group modulo torsion |
j |
-27262976/27783 |
j-invariant |
L |
3.6197621700216 |
L(r)(E,1)/r! |
Ω |
0.28265540097574 |
Real period |
R |
1.6007840985999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725bi1 88725ci1 |
Quadratic twists by: 5 13 |