Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834h |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-67611792091734 = -1 · 2 · 35 · 119 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 11- 4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14643,782379] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1317:1] |
Generators of the group modulo torsion |
j |
-196021690129/38165094 |
j-invariant |
L |
3.224518214358 |
L(r)(E,1)/r! |
Ω |
0.59288353117058 |
Real period |
R |
2.7193521533633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128502bq1 3894j1 |
Quadratic twists by: -3 -11 |