Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200l |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2309213918436275200 = -1 · 210 · 52 · 715 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6910128,6989690308] |
[a1,a2,a3,a4,a6] |
j |
-1425417498834827170660/90203668688917 |
j-invariant |
L |
0.49130205542595 |
L(r)(E,1)/r! |
Ω |
0.24565102772084 |
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 |
26600bc1 53200bj1 |
Quadratic twists by: -4 5 |