Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bz |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-5824000000 = -1 · 212 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2933,-62237] |
[a1,a2,a3,a4,a6] |
Generators |
[17185774:89498989:226981] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
4.1829775365031 |
L(r)(E,1)/r! |
Ω |
0.32432087840986 |
Real period |
R |
12.897651107176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2275a1 1456h1 |
Quadratic twists by: -4 5 |