Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930d |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
21851478190500 = 22 · 3 · 53 · 79 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-967138,-366487232] |
[a1,a2,a3,a4,a6] |
j |
2479176213198607/541500 |
j-invariant |
L |
0.30447902879998 |
L(r)(E,1)/r! |
Ω |
0.1522395143998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790fe1 27930bt1 |
Quadratic twists by: -3 -7 |