Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262r |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
-14618879028 = -1 · 22 · 312 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-666114,208975107] |
[a1,a2,a3,a4,a6] |
Generators |
[721:9845:1] |
Generators of the group modulo torsion |
j |
-61789369736823097873/27634932 |
j-invariant |
L |
6.7771744240951 |
L(r)(E,1)/r! |
Ω |
0.75630337080915 |
Real period |
R |
2.2402301396738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123786m1 41262p1 |
Quadratic twists by: -3 -23 |