Atkin-Lehner |
2- 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
103334w |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
135360 |
Modular degree for the optimal curve |
Δ |
10916617096 = 23 · 75 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ 11+ 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1068,-12185] |
[a1,a2,a3,a4,a6] |
Generators |
[-447:947:27] |
Generators of the group modulo torsion |
j |
101129563179/8201816 |
j-invariant |
L |
18.096725562284 |
L(r)(E,1)/r! |
Ω |
0.8394978042102 |
Real period |
R |
3.5927680951853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103334i1 |
Quadratic twists by: -11 |