Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328f |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-388813824 = -1 · 210 · 33 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 0 5 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,2826] |
[a1,a2,a3,a4,a6] |
Generators |
[3:42:1] |
Generators of the group modulo torsion |
j |
-191328588/14063 |
j-invariant |
L |
6.0261982097572 |
L(r)(E,1)/r! |
Ω |
1.6589961771113 |
Real period |
R |
0.30270303878629 |
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 |
20664k1 41328c1 |
Quadratic twists by: -4 -3 |