Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414cz |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
569556643542768 = 24 · 36 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37769,-2571879] |
[a1,a2,a3,a4,a6] |
Generators |
[-7788:33263:64] |
Generators of the group modulo torsion |
j |
1171657/112 |
j-invariant |
L |
10.595807635297 |
L(r)(E,1)/r! |
Ω |
0.34456691432335 |
Real period |
R |
7.6877720950838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046g1 36414cj1 |
Quadratic twists by: -3 17 |