Atkin-Lehner |
2- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27412b |
Isogeny class |
Conductor |
27412 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
-179799913216 = -1 · 28 · 72 · 115 · 89 |
Discriminant |
Eigenvalues |
2- 2 1 7- 11+ -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-925,-22791] |
[a1,a2,a3,a4,a6] |
Generators |
[1598400:12922399:19683] |
Generators of the group modulo torsion |
j |
-342277513216/702343411 |
j-invariant |
L |
8.3219139340016 |
L(r)(E,1)/r! |
Ω |
0.40628182660915 |
Real period |
R |
10.241553262986 |
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 |
109648l1 |
Quadratic twists by: -4 |