Atkin-Lehner |
2- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23030w |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-141873643520 = -1 · 218 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17410,-891633] |
[a1,a2,a3,a4,a6] |
Generators |
[185:1411:1] |
Generators of the group modulo torsion |
j |
-11910376892084209/2895380480 |
j-invariant |
L |
6.5022287000043 |
L(r)(E,1)/r! |
Ω |
0.20780854554702 |
Real period |
R |
0.86915320740813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150f1 23030q1 |
Quadratic twists by: 5 -7 |