Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22540f |
Isogeny class |
Conductor |
22540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1700352 |
Modular degree for the optimal curve |
Δ |
-17535083441750000 = -1 · 24 · 56 · 78 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -6 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129007706,-563947245119] |
[a1,a2,a3,a4,a6] |
Generators |
[1481592:338939875:27] |
Generators of the group modulo torsion |
j |
-126142795384287538429696/9315359375 |
j-invariant |
L |
2.7809697278274 |
L(r)(E,1)/r! |
Ω |
0.022398330341795 |
Real period |
R |
10.346640744311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160cb1 112700o1 3220c1 |
Quadratic twists by: -4 5 -7 |