Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930cg |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
14600824439040 = 28 · 36 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-495146,-134312137] |
[a1,a2,a3,a4,a6] |
j |
114113060120923921/124104960 |
j-invariant |
L |
1.4398135179342 |
L(r)(E,1)/r! |
Ω |
0.17997668974189 |
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 |
83790cn1 3990bb1 |
Quadratic twists by: -3 -7 |