Atkin-Lehner |
2+ 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bb |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20367360 |
Modular degree for the optimal curve |
Δ |
-5.0505330060764E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 5 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6107817789,-183727266228027] |
[a1,a2,a3,a4,a6] |
Generators |
[10271284511239607853550749095979:-3089409223332585677176695128666067:72228453860021861078530127] |
Generators of the group modulo torsion |
j |
-34566419909754166339572971333329/692802881491968000 |
j-invariant |
L |
4.9574170278455 |
L(r)(E,1)/r! |
Ω |
0.0085388235830836 |
Real period |
R |
48.381147781555 |
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 |
12090bc1 |
Quadratic twists by: -3 |