Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41624h |
Isogeny class |
Conductor |
41624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-191972707397977088 = -1 · 210 · 119 · 433 |
Discriminant |
Eigenvalues |
2- 1 -2 -2 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,122896,13056272] |
[a1,a2,a3,a4,a6] |
Generators |
[2339:114466:1] |
Generators of the group modulo torsion |
j |
85015732/79507 |
j-invariant |
L |
4.3422133663354 |
L(r)(E,1)/r! |
Ω |
0.20866641249973 |
Real period |
R |
1.7341128815453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83248a1 41624a1 |
Quadratic twists by: -4 -11 |