Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400q |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-249696000 = -1 · 28 · 33 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68,-768] |
[a1,a2,a3,a4,a6] |
Generators |
[28:136:1] |
Generators of the group modulo torsion |
j |
-1102736/7803 |
j-invariant |
L |
4.1818441010076 |
L(r)(E,1)/r! |
Ω |
0.73633632593925 |
Real period |
R |
2.8396290891077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10200bp1 81600jo1 61200cd1 20400bl1 |
Quadratic twists by: -4 8 -3 5 |