Atkin-Lehner |
2+ 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270ba |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-16236148614266880 = -1 · 215 · 39 · 5 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65169,8881245] |
[a1,a2,a3,a4,a6] |
Generators |
[189:1719:1] |
Generators of the group modulo torsion |
j |
-41987798382421009/22271808798720 |
j-invariant |
L |
4.1370350036131 |
L(r)(E,1)/r! |
Ω |
0.36407244438253 |
Real period |
R |
0.94693493640368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090bb1 |
Quadratic twists by: -3 |