Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
84700m |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
2921811200 = 28 · 52 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-440,2420] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:77:1] |
Generators of the group modulo torsion |
j |
1105920/343 |
j-invariant |
L |
6.698484847428 |
L(r)(E,1)/r! |
Ω |
1.3221797875691 |
Real period |
R |
0.84437392817009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84700y1 84700b1 |
Quadratic twists by: 5 -11 |