Atkin-Lehner |
2- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85400y |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2929220000000 = 28 · 57 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4175,63250] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:42:1] [-45:400:1] |
Generators of the group modulo torsion |
j |
2012024016/732305 |
j-invariant |
L |
10.852059395415 |
L(r)(E,1)/r! |
Ω |
0.7350142630538 |
Real period |
R |
3.6911050372497 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17080c1 |
Quadratic twists by: 5 |