Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cj |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-89965484406 = -1 · 2 · 33 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1545,-27590] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-552:1] |
Generators of the group modulo torsion |
j |
-11984473/2646 |
j-invariant |
L |
4.1968179635317 |
L(r)(E,1)/r! |
Ω |
0.37634506780993 |
Real period |
R |
0.92929298194868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138b1 84966bh1 |
Quadratic twists by: -7 17 |