Atkin-Lehner |
2+ 3+ 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41538b |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3465600 |
Modular degree for the optimal curve |
Δ |
-3.0386557649107E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -1 -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6131381,-6013324355] |
[a1,a2,a3,a4,a6] |
j |
25491683203706757377333447/30386557649107457409024 |
j-invariant |
L |
1.1357037451541 |
L(r)(E,1)/r! |
Ω |
0.063094652509841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124614k1 |
Quadratic twists by: -3 |