Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090b |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-150268230 = -1 · 2 · 33 · 5 · 7 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-330,2466] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:60:1] |
Generators of the group modulo torsion |
j |
-147449000187/5565490 |
j-invariant |
L |
2.9654084286288 |
L(r)(E,1)/r! |
Ω |
1.8162809399661 |
Real period |
R |
2.4490223649136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27090be2 |
Quadratic twists by: -3 |