Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930s |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-14663250 = -1 · 2 · 32 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 5 -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,38,-146] |
[a1,a2,a3,a4,a6] |
Generators |
[13:46:1] |
Generators of the group modulo torsion |
j |
16974593/42750 |
j-invariant |
L |
3.6592281252915 |
L(r)(E,1)/r! |
Ω |
1.1456248058922 |
Real period |
R |
0.26617412222507 |
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 |
83790ea1 27930bk1 |
Quadratic twists by: -3 -7 |