Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cy |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
-3849141548531712 = -1 · 214 · 3 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 4 -3 0 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129781,-18198227] |
[a1,a2,a3,a4,a6] |
Generators |
[23442861183677508893617121305949796:2320139335976364886293646174341313495:2389818171308111350332754328703] |
Generators of the group modulo torsion |
j |
-188416/3 |
j-invariant |
L |
7.0167663304254 |
L(r)(E,1)/r! |
Ω |
0.12564804183297 |
Real period |
R |
55.844613477965 |
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 |
101568bs1 25392bi1 101568db1 |
Quadratic twists by: -4 8 -23 |