Atkin-Lehner |
2- 3+ 5- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030m |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-8271180000 = -1 · 25 · 33 · 54 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-120,-4455] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-187:1] |
Generators of the group modulo torsion |
j |
-191202526081/8271180000 |
j-invariant |
L |
7.9925582810154 |
L(r)(E,1)/r! |
Ω |
0.5728649254349 |
Real period |
R |
0.3487976801402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81090k1 |
Quadratic twists by: -3 |