Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176bj |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
22538574368064 = 26 · 320 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 -2 3 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7104,30674] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:511:1] |
Generators of the group modulo torsion |
j |
849816322048/483079869 |
j-invariant |
L |
5.4515427069056 |
L(r)(E,1)/r! |
Ω |
0.58201262686813 |
Real period |
R |
4.6833543253933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176cn1 909a1 19392g1 |
Quadratic twists by: -4 8 -3 |