Atkin-Lehner |
2- 3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646u |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-14796271233460224 = -1 · 211 · 311 · 313 · 372 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -5 -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-108563,14987315] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:5410:1] [-105:5074:1] |
Generators of the group modulo torsion |
j |
-194105544724737001/20296668358656 |
j-invariant |
L |
9.1508588311304 |
L(r)(E,1)/r! |
Ω |
0.384462291818 |
Real period |
R |
0.090157981146628 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882f1 |
Quadratic twists by: -3 |