Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800g |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-807072140000000 = -1 · 28 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148633,-22147637] |
[a1,a2,a3,a4,a6] |
j |
-2249728/5 |
j-invariant |
L |
1.9449240903024 |
L(r)(E,1)/r! |
Ω |
0.1215577556439 |
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 |
19600r1 78400bw1 88200hi1 1960m1 |
Quadratic twists by: -4 8 -3 5 |