Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36982a |
Isogeny class |
Conductor |
36982 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-572777216 = -1 · 28 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -3 4 11+ 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,191,629] |
[a1,a2,a3,a4,a6] |
Generators |
[2:31:1] |
Generators of the group modulo torsion |
j |
454672247/340736 |
j-invariant |
L |
2.9701161811458 |
L(r)(E,1)/r! |
Ω |
1.0453910240493 |
Real period |
R |
1.4205766611814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36982c1 |
Quadratic twists by: 41 |