Atkin-Lehner |
2- 3- 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41538m |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-29532521088 = -1 · 27 · 32 · 72 · 233 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 0 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47578,3990500] |
[a1,a2,a3,a4,a6] |
Generators |
[128:-22:1] |
Generators of the group modulo torsion |
j |
-11910852007694718625/29532521088 |
j-invariant |
L |
12.096124061064 |
L(r)(E,1)/r! |
Ω |
1.0194526249208 |
Real period |
R |
0.42376116377734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124614i1 |
Quadratic twists by: -3 |