Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950cz |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-37180000 = -1 · 25 · 54 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2363,44017] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-13:1] [18:77:1] |
Generators of the group modulo torsion |
j |
-13815278425/352 |
j-invariant |
L |
11.526146545302 |
L(r)(E,1)/r! |
Ω |
1.9055854148736 |
Real period |
R |
1.209722372514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92950o1 92950bg1 |
Quadratic twists by: 5 13 |