Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930u |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
266160862170000 = 24 · 35 · 54 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144341432,667414283376] |
[a1,a2,a3,a4,a6] |
j |
2826887369998878529467769/2262330000 |
j-invariant |
L |
1.9277963153692 |
L(r)(E,1)/r! |
Ω |
0.2409745394212 |
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 |
83790eg1 3990j1 |
Quadratic twists by: -3 -7 |