Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600de |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-5903156224000 = -1 · 213 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -3 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1715,120050] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-392:1] |
Generators of the group modulo torsion |
j |
-189/2 |
j-invariant |
L |
4.8065112853975 |
L(r)(E,1)/r! |
Ω |
0.6451688652456 |
Real period |
R |
0.31041687587015 |
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 |
2450l1 78400jj1 19600df1 19600dp1 |
Quadratic twists by: -4 8 5 -7 |