Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
74700b |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-378168750000 = -1 · 24 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-310800,-66691375] |
[a1,a2,a3,a4,a6] |
Generators |
[3660610:52771525:4913] |
Generators of the group modulo torsion |
j |
-18217937403904/2075 |
j-invariant |
L |
6.4101913015936 |
L(r)(E,1)/r! |
Ω |
0.10109956885342 |
Real period |
R |
10.567455716303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8300c1 14940c1 |
Quadratic twists by: -3 5 |