Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640y |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-77661785600000 = -1 · 212 · 55 · 75 · 192 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 3 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3365,-431725] |
[a1,a2,a3,a4,a6] |
j |
-1029077364736/18960396875 |
j-invariant |
L |
2.630542779216 |
L(r)(E,1)/r! |
Ω |
0.2630542779216 |
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 |
665d1 42560ca1 95760di1 53200ct1 |
Quadratic twists by: -4 8 -3 5 |