Atkin-Lehner |
2+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400n |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
251904 |
Modular degree for the optimal curve |
Δ |
-39661830880000 = -1 · 28 · 54 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 1 -1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6433,-364437] |
[a1,a2,a3,a4,a6] |
j |
-184039859200/247886443 |
j-invariant |
L |
0.50784603781904 |
L(r)(E,1)/r! |
Ω |
0.25392318150812 |
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 |
60200t1 120400k1 |
Quadratic twists by: -4 5 |