Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800j |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-4900000000000 = -1 · 211 · 511 · 72 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -1 -3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6008,-210512] |
[a1,a2,a3,a4,a6] |
j |
-15298178/3125 |
j-invariant |
L |
0.53637353993093 |
L(r)(E,1)/r! |
Ω |
0.26818676996546 |
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 |
19600s1 78400ce1 88200gd1 1960n1 |
Quadratic twists by: -4 8 -3 5 |