Atkin-Lehner |
3- 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265i |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
36278819865 = 314 · 5 · 37 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -2 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1179,-12312] |
[a1,a2,a3,a4,a6] |
Generators |
[217672:5363240:343] |
Generators of the group modulo torsion |
j |
248739515569/49765185 |
j-invariant |
L |
8.5702822450206 |
L(r)(E,1)/r! |
Ω |
0.82611615355601 |
Real period |
R |
10.374185528083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755g1 |
Quadratic twists by: -3 |