Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525cf |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-9788902323046875 = -1 · 33 · 58 · 79 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26133,-5038981] |
[a1,a2,a3,a4,a6] |
j |
-1073741824/5325075 |
j-invariant |
L |
2.0347721406486 |
L(r)(E,1)/r! |
Ω |
0.1695643404978 |
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 |
16905j1 12075g1 |
Quadratic twists by: 5 -7 |