Atkin-Lehner |
2+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032m |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1804032 |
Modular degree for the optimal curve |
Δ |
-2246163953977655296 = -1 · 221 · 139 · 101 |
Discriminant |
Eigenvalues |
2+ 2 1 4 -4 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1250945,543747713] |
[a1,a2,a3,a4,a6] |
Generators |
[673:2496:1] |
Generators of the group modulo torsion |
j |
-825845457115463329/8568435493384 |
j-invariant |
L |
11.583921328689 |
L(r)(E,1)/r! |
Ω |
0.26075047197011 |
Real period |
R |
1.2340364709102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84032y1 2626f1 |
Quadratic twists by: -4 8 |