Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400cm |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
17224480000 = 28 · 54 · 72 · 133 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-733,-4063] |
[a1,a2,a3,a4,a6] |
Generators |
[97:910:1] [-8:35:1] |
Generators of the group modulo torsion |
j |
272588800/107653 |
j-invariant |
L |
7.2134638383581 |
L(r)(E,1)/r! |
Ω |
0.94906585660459 |
Real period |
R |
0.21112759890742 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9100l1 36400bp1 |
Quadratic twists by: -4 5 |