Atkin-Lehner |
2+ 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090x |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
56448110250000 = 24 · 37 · 56 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56574,5180868] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-231:1] [-231:2541:1] |
Generators of the group modulo torsion |
j |
27469525665643489/77432250000 |
j-invariant |
L |
6.4028741603151 |
L(r)(E,1)/r! |
Ω |
0.62960826387126 |
Real period |
R |
0.21186699623834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030v1 |
Quadratic twists by: -3 |