Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cb |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-21952000000 = -1 · 212 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875,12250] |
[a1,a2,a3,a4,a6] |
Generators |
[15:50:1] |
Generators of the group modulo torsion |
j |
-3375 |
j-invariant |
L |
4.4326227316864 |
L(r)(E,1)/r! |
Ω |
1.1437626296029 |
Real period |
R |
0.96886858710037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1225b1 78400gw1 784h1 19600cb3 |
Quadratic twists by: -4 8 5 -7 |