Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930w |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-2300155599000 = -1 · 23 · 3 · 53 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2622,-90516] |
[a1,a2,a3,a4,a6] |
j |
-49430863/57000 |
j-invariant |
L |
1.9159098728512 |
L(r)(E,1)/r! |
Ω |
0.31931831214172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790eo1 27930bc1 |
Quadratic twists by: -3 -7 |