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 |
Δ |
-2104533975040 = -1 · 233 · 5 · 72 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2536,-86220] |
[a1,a2,a3,a4,a6] |
Generators |
[846:24576:1] |
Generators of the group modulo torsion |
j |
-8990558521/10485760 |
j-invariant |
L |
2.2572535779568 |
L(r)(E,1)/r! |
Ω |
0.32188733453349 |
Real period |
R |
1.7531394806418 |
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 |
490b2 15680dr2 35280fp2 19600cr2 |
Quadratic twists by: -4 8 -3 5 |