Atkin-Lehner |
2- 3- 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bb |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1077120 |
Modular degree for the optimal curve |
Δ |
-1.2144808721553E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1094733,-294465375] |
[a1,a2,a3,a4,a6] |
Generators |
[450:16785:1] |
Generators of the group modulo torsion |
j |
145093620168379986577487/121448087215529747904 |
j-invariant |
L |
10.954585169094 |
L(r)(E,1)/r! |
Ω |
0.10288611150098 |
Real period |
R |
3.2264522537917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774s1 |
Quadratic twists by: -3 |