Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34692f |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
917280 |
Modular degree for the optimal curve |
Δ |
-1275410419117161264 = -1 · 24 · 314 · 710 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -6 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3652721,2688799422] |
[a1,a2,a3,a4,a6] |
Generators |
[384482:424278:343] |
Generators of the group modulo torsion |
j |
-1192539993358336/282195171 |
j-invariant |
L |
3.0784128690189 |
L(r)(E,1)/r! |
Ω |
0.26517128581172 |
Real period |
R |
5.8045743142878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104076s1 34692m1 |
Quadratic twists by: -3 -7 |