Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290du |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-6433445916012500 = -1 · 22 · 55 · 74 · 118 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 11- 6 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60402,-6879771] |
[a1,a2,a3,a4,a6] |
j |
-5729578281/1512500 |
j-invariant |
L |
3.0038921341373 |
L(r)(E,1)/r! |
Ω |
0.15019460656951 |
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 |
59290dk1 5390l1 |
Quadratic twists by: -7 -11 |