Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966df |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
3261440 |
Modular degree for the optimal curve |
Δ |
-3551958237959921664 = -1 · 213 · 37 · 79 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1343924,-607043851] |
[a1,a2,a3,a4,a6] |
Generators |
[1637:38969:1] |
Generators of the group modulo torsion |
j |
-1354000227047/17915904 |
j-invariant |
L |
11.751202670668 |
L(r)(E,1)/r! |
Ω |
0.070054161825861 |
Real period |
R |
3.2258564037011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966dz1 84966dw1 |
Quadratic twists by: -7 17 |