Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3920x |
Isogeny class |
Conductor |
3920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-3211264000 = -1 · 219 · 53 · 72 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,264,2260] |
[a1,a2,a3,a4,a6] |
Generators |
[6:64:1] |
Generators of the group modulo torsion |
j |
10100279/16000 |
j-invariant |
L |
2.2572535779568 |
L(r)(E,1)/r! |
Ω |
0.96566200360047 |
Real period |
R |
0.58437982688059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
490b1 15680dr1 35280fp1 19600cr1 |
Quadratic twists by: -4 8 -3 5 |