Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328t |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-87094296576 = -1 · 215 · 33 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 4 -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1347,-23742] |
[a1,a2,a3,a4,a6] |
Generators |
[78:588:1] |
Generators of the group modulo torsion |
j |
-2444008923/787528 |
j-invariant |
L |
6.550164636595 |
L(r)(E,1)/r! |
Ω |
0.38766434237821 |
Real period |
R |
2.1120605897127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166d1 41328o1 |
Quadratic twists by: -4 -3 |