Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930ck |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
32859365700 = 22 · 3 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1226,13523] |
[a1,a2,a3,a4,a6] |
j |
1732323601/279300 |
j-invariant |
L |
4.4644531198437 |
L(r)(E,1)/r! |
Ω |
1.1161132799609 |
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 |
83790cp1 3990bc1 |
Quadratic twists by: -3 -7 |