Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bh |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-7583744000 = -1 · 214 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 3 -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-805,-9475] |
[a1,a2,a3,a4,a6] |
j |
-3525581824/462875 |
j-invariant |
L |
2.6690646950578 |
L(r)(E,1)/r! |
Ω |
0.44484411585913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520bz1 6440c1 |
Quadratic twists by: -4 8 |