Atkin-Lehner |
2- 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306w |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-167938770944 = -1 · 211 · 76 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 1 3 7- 3 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2304,-47104] |
[a1,a2,a3,a4,a6] |
j |
-11497268593/1427456 |
j-invariant |
L |
7.527717178427 |
L(r)(E,1)/r! |
Ω |
0.34216896225359 |
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 |
1394h1 |
Quadratic twists by: -7 |