Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830j |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-512072000 = -1 · 26 · 53 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36790,2725300] |
[a1,a2,a3,a4,a6] |
Generators |
[116:34:1] |
Generators of the group modulo torsion |
j |
-45512882873379009/4232000 |
j-invariant |
L |
1.8039483601999 |
L(r)(E,1)/r! |
Ω |
1.2672785690437 |
Real period |
R |
0.35587052528656 |
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 |
27830t1 |
Quadratic twists by: -11 |