Atkin-Lehner |
2- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27376f |
Isogeny class |
Conductor |
27376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-92118310977536 = -1 · 218 · 29 · 594 |
Discriminant |
Eigenvalues |
2- -1 1 2 1 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4040,473584] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:118:1] |
Generators of the group modulo torsion |
j |
-1780800847561/22489822016 |
j-invariant |
L |
5.1899351039735 |
L(r)(E,1)/r! |
Ω |
0.51121829908766 |
Real period |
R |
1.2690114754391 |
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 |
3422a1 109504q1 |
Quadratic twists by: -4 8 |