Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7084k |
Isogeny class |
Conductor |
7084 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
453376 = 28 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3 3 7- 11- 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31,-58] |
[a1,a2,a3,a4,a6] |
j |
12869712/1771 |
j-invariant |
L |
6.1252963704009 |
L(r)(E,1)/r! |
Ω |
2.0417654568003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28336u1 113344bg1 63756z1 49588q1 |
Quadratic twists by: -4 8 -3 -7 |