Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230bg |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-16406257300992000 = -1 · 212 · 310 · 53 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3622,-6162919] |
[a1,a2,a3,a4,a6] |
Generators |
[273:3751:1] |
Generators of the group modulo torsion |
j |
7210309838759/22505154048000 |
j-invariant |
L |
7.7402959167417 |
L(r)(E,1)/r! |
Ω |
0.1813467892692 |
Real period |
R |
1.7784286733937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410l1 111150bi1 |
Quadratic twists by: -3 5 |