Atkin-Lehner |
101+ |
Signs for the Atkin-Lehner involutions |
Class |
10201a |
Isogeny class |
Conductor |
10201 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20400 |
Modular degree for the optimal curve |
Δ |
107213535210701 = 1017 |
Discriminant |
Eigenvalues |
0 2 -1 2 2 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13601,-348440] |
[a1,a2,a3,a4,a6] |
Generators |
[-255340:2277467:4913] |
Generators of the group modulo torsion |
j |
262144/101 |
j-invariant |
L |
5.2901547170321 |
L(r)(E,1)/r! |
Ω |
0.45674666880638 |
Real period |
R |
5.7911256702287 |
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 |
91809c1 101a1 |
Quadratic twists by: -3 101 |