Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dp |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-50176000 = -1 · 213 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -3 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,-350] |
[a1,a2,a3,a4,a6] |
Generators |
[9:8:1] [15:50:1] |
Generators of the group modulo torsion |
j |
-189/2 |
j-invariant |
L |
7.0053760830941 |
L(r)(E,1)/r! |
Ω |
0.85131354419584 |
Real period |
R |
1.0286128023653 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450o1 78400kc1 19600do1 19600de1 |
Quadratic twists by: -4 8 5 -7 |