Atkin-Lehner |
2+ 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116402c |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
318720 |
Modular degree for the optimal curve |
Δ |
-41186408728894 = -1 · 2 · 117 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 2 -1 -2 11- 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6532,-229786] |
[a1,a2,a3,a4,a6] |
Generators |
[37:235:1] [127:1570:1] |
Generators of the group modulo torsion |
j |
17394111071/23248654 |
j-invariant |
L |
11.095782672706 |
L(r)(E,1)/r! |
Ω |
0.34336604612736 |
Real period |
R |
4.0393418338177 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582k1 |
Quadratic twists by: -11 |