Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360a |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2513715200 = 214 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -6 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-668,-6192] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:20:1] |
Generators of the group modulo torsion |
j |
2012024016/153425 |
j-invariant |
L |
5.0537184531261 |
L(r)(E,1)/r! |
Ω |
0.9436174716043 |
Real period |
R |
1.3389213786586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360bq1 12920d1 |
Quadratic twists by: -4 8 |