Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
94792d |
Isogeny class |
Conductor |
94792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
269182169488 = 24 · 177 · 41 |
Discriminant |
Eigenvalues |
2+ -1 2 -3 -4 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35932,-2609563] |
[a1,a2,a3,a4,a6] |
Generators |
[-2949:289:27] |
Generators of the group modulo torsion |
j |
13285149952/697 |
j-invariant |
L |
3.2646870111872 |
L(r)(E,1)/r! |
Ω |
0.34676045717984 |
Real period |
R |
2.3537048059044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5576d1 |
Quadratic twists by: 17 |