Atkin-Lehner |
2+ 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89146c |
Isogeny class |
Conductor |
89146 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-15894018632 = -1 · 23 · 294 · 532 |
Discriminant |
Eigenvalues |
2+ -1 2 -2 -3 -2 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1699,26933] |
[a1,a2,a3,a4,a6] |
Generators |
[89:724:1] |
Generators of the group modulo torsion |
j |
-767557993/22472 |
j-invariant |
L |
2.014187680539 |
L(r)(E,1)/r! |
Ω |
1.2357317309522 |
Real period |
R |
0.27165924334722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89146f1 |
Quadratic twists by: 29 |