Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930br |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-760776464369250 = -1 · 2 · 34 · 53 · 711 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-428433,107909806] |
[a1,a2,a3,a4,a6] |
Generators |
[830:17592:1] |
Generators of the group modulo torsion |
j |
-73923540638379769/6466493250 |
j-invariant |
L |
5.0368931858311 |
L(r)(E,1)/r! |
Ω |
0.48267287349821 |
Real period |
R |
0.21740454139112 |
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 |
83790eh1 3990b1 |
Quadratic twists by: -3 -7 |