Atkin-Lehner |
2+ 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30798g |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-74080770048 = -1 · 211 · 36 · 292 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -3 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1572,27728] |
[a1,a2,a3,a4,a6] |
Generators |
[7:127:1] |
Generators of the group modulo torsion |
j |
-589534466625/101619712 |
j-invariant |
L |
3.6562276661992 |
L(r)(E,1)/r! |
Ω |
1.0498234438316 |
Real period |
R |
0.87067679991382 |
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 |
3422f1 |
Quadratic twists by: -3 |