Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600s |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
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 |
2.9473326807474 |
L(r)(E,1)/r! |
Ω |
0.73683317018685 |
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 |
9800j1 78400in1 3920n1 19600e1 |
Quadratic twists by: -4 8 5 -7 |