Atkin-Lehner |
2+ 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
36520a |
Isogeny class |
Conductor |
36520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-775976960 = -1 · 211 · 5 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ -1 5+ 5 11+ -6 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296,2476] |
[a1,a2,a3,a4,a6] |
Generators |
[33:166:1] |
Generators of the group modulo torsion |
j |
-1405190738/378895 |
j-invariant |
L |
4.1711969372479 |
L(r)(E,1)/r! |
Ω |
1.5154657040319 |
Real period |
R |
1.3762096120526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73040c1 |
Quadratic twists by: -4 |