Atkin-Lehner |
2- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77168i |
Isogeny class |
Conductor |
77168 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
-102688546594816 = -1 · 213 · 72 · 136 · 53 |
Discriminant |
Eigenvalues |
2- -2 1 7+ -3 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4160,477876] |
[a1,a2,a3,a4,a6] |
Generators |
[164:-2366:1] |
Generators of the group modulo torsion |
j |
1943297778239/25070445946 |
j-invariant |
L |
3.7072203494102 |
L(r)(E,1)/r! |
Ω |
0.44155139811194 |
Real period |
R |
0.34982906908416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9646e1 |
Quadratic twists by: -4 |