Atkin-Lehner |
2- 3- 5- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030u |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-53445679898437500 = -1 · 22 · 3 · 59 · 172 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,90235,3863517] |
[a1,a2,a3,a4,a6] |
j |
81254697780966830639/53445679898437500 |
j-invariant |
L |
3.9962200691479 |
L(r)(E,1)/r! |
Ω |
0.22201222606378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81090l1 |
Quadratic twists by: -3 |