Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328d |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-777627648 = -1 · 211 · 33 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -1 -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171,1594] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:28:1] [-10:48:1] |
Generators of the group modulo torsion |
j |
-10000422/14063 |
j-invariant |
L |
8.1849385301569 |
L(r)(E,1)/r! |
Ω |
1.4359885595013 |
Real period |
R |
0.23749430534575 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20664j1 41328g1 |
Quadratic twists by: -4 -3 |