Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cd |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-329417200 = -1 · 24 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 5 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-245,1715] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:49:1] |
Generators of the group modulo torsion |
j |
-34560/7 |
j-invariant |
L |
5.2578382958131 |
L(r)(E,1)/r! |
Ω |
1.6412600272477 |
Real period |
R |
0.80088441327456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900d1 78400ha1 19600dq1 2800p1 |
Quadratic twists by: -4 8 5 -7 |