Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dd |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
101314075886666496 = 28 · 39 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117629,2520083] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:3212:1] |
Generators of the group modulo torsion |
j |
152186997697/85660416 |
j-invariant |
L |
11.640091556891 |
L(r)(E,1)/r! |
Ω |
0.28995476084471 |
Real period |
R |
2.5090318229183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966dp1 4998br1 |
Quadratic twists by: -7 17 |