Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cm |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.2645729624364E+19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1105980,385073900] |
[a1,a2,a3,a4,a6] |
Generators |
[3130:27825:8] |
Generators of the group modulo torsion |
j |
329890530231376/49933296875 |
j-invariant |
L |
10.969410493377 |
L(r)(E,1)/r! |
Ω |
0.20521693131444 |
Real period |
R |
4.45439630742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16940f2 6160i2 |
Quadratic twists by: -4 -11 |