Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520bz |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-1030734234412646400 = -1 · 226 · 39 · 52 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,188757,37277658] |
[a1,a2,a3,a4,a6] |
j |
9225324907317/12784844800 |
j-invariant |
L |
2.9944080114919 |
L(r)(E,1)/r! |
Ω |
0.18715050043088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190ba1 65520cj1 |
Quadratic twists by: -4 -3 |