Atkin-Lehner |
2+ 3- 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354y |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5505024 |
Modular degree for the optimal curve |
Δ |
-478493388345950208 = -1 · 214 · 318 · 7 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3079179,2080735429] |
[a1,a2,a3,a4,a6] |
j |
-4428953001929597723569/656369531338752 |
j-invariant |
L |
1.1409126521906 |
L(r)(E,1)/r! |
Ω |
0.28522831674078 |
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 |
41118p1 |
Quadratic twists by: -3 |