Atkin-Lehner |
2+ 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47656a |
Isogeny class |
Conductor |
47656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-836081867992849408 = -1 · 210 · 77 · 232 · 374 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 0 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,190549,-30172714] |
[a1,a2,a3,a4,a6] |
Generators |
[563488177:15653627888:1092727] |
Generators of the group modulo torsion |
j |
747211895716228092/816486199211767 |
j-invariant |
L |
3.4450850492813 |
L(r)(E,1)/r! |
Ω |
0.15229844914792 |
Real period |
R |
11.310309029939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95312g1 |
Quadratic twists by: -4 |