Atkin-Lehner |
2- 3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
124236q |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-1288100101300992 = -1 · 28 · 36 · 77 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12864,-1815788] |
[a1,a2,a3,a4,a6] |
j |
-1261491453952/6902113883 |
j-invariant |
L |
2.8202922656915 |
L(r)(E,1)/r! |
Ω |
0.20144947874619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13804e1 |
Quadratic twists by: -3 |