Atkin-Lehner |
2+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782g |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
344736 |
Modular degree for the optimal curve |
Δ |
-34854816977344 = -1 · 26 · 78 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-135707,19232742] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-32:1] |
Generators of the group modulo torsion |
j |
-47944803313897/6046144 |
j-invariant |
L |
3.6601917338028 |
L(r)(E,1)/r! |
Ω |
0.62890808643626 |
Real period |
R |
2.9099576015586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000517 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54782r1 |
Quadratic twists by: -7 |