Atkin-Lehner |
5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36575d |
Isogeny class |
Conductor |
36575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
7563238525390625 = 514 · 72 · 113 · 19 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11+ 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-650605,-201781228] |
[a1,a2,a3,a4,a6] |
j |
1949194826613160281/484047265625 |
j-invariant |
L |
1.3448279191297 |
L(r)(E,1)/r! |
Ω |
0.16810348989244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315f1 |
Quadratic twists by: 5 |