Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328x |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5114880 |
Modular degree for the optimal curve |
Δ |
-1.0907798253273E+24 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 -1 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91788147,342185663538] |
[a1,a2,a3,a4,a6] |
Generators |
[6159:102438:1] |
Generators of the group modulo torsion |
j |
-1060796991033079077987/13529628018737152 |
j-invariant |
L |
6.4435466946637 |
L(r)(E,1)/r! |
Ω |
0.087491594278623 |
Real period |
R |
4.602975539962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166a1 41328ba1 |
Quadratic twists by: -4 -3 |