Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930dj |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
Δ |
-6499221624000000 = -1 · 29 · 38 · 56 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8940,3891600] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1860:1] |
Generators of the group modulo torsion |
j |
-230380217865127/18948168000000 |
j-invariant |
L |
10.53959238957 |
L(r)(E,1)/r! |
Ω |
0.34801294568236 |
Real period |
R |
0.070104301889259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790x2 27930ca2 |
Quadratic twists by: -3 -7 |