Atkin-Lehner |
2+ 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103334h |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-4901338288 = -1 · 24 · 73 · 114 · 61 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11- 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,119,3381] |
[a1,a2,a3,a4,a6] |
Generators |
[6:63:1] |
Generators of the group modulo torsion |
j |
12562583/334768 |
j-invariant |
L |
5.8022123902114 |
L(r)(E,1)/r! |
Ω |
1.0278425747078 |
Real period |
R |
0.94083999545439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999488401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103334bh1 |
Quadratic twists by: -11 |