Atkin-Lehner |
2+ 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63954g |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
16768505495808 = 28 · 36 · 114 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45756,3773520] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:2775:1] |
Generators of the group modulo torsion |
j |
14532678861183937/23002065152 |
j-invariant |
L |
5.8074637118922 |
L(r)(E,1)/r! |
Ω |
0.69390050884378 |
Real period |
R |
2.0923257864533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7106c1 |
Quadratic twists by: -3 |