Atkin-Lehner |
2+ 3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650f |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
592220160 |
Modular degree for the optimal curve |
Δ |
3.58923342598E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-131670290500,-18389971088606000] |
[a1,a2,a3,a4,a6] |
j |
16157235955145051828417401942102081/2297109392627197846487040 |
j-invariant |
L |
1.5533990724294 |
L(r)(E,1)/r! |
Ω |
0.0079255171476432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530bk1 |
Quadratic twists by: 5 |