Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24800p |
Isogeny class |
Conductor |
24800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-15872000 = -1 · 212 · 53 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- -4 6 6 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,197] |
[a1,a2,a3,a4,a6] |
Generators |
[7:20:1] |
Generators of the group modulo torsion |
j |
-512/31 |
j-invariant |
L |
4.2158643848945 |
L(r)(E,1)/r! |
Ω |
1.8236066555046 |
Real period |
R |
0.57795692565729 |
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 |
24800q1 49600co1 24800h1 |
Quadratic twists by: -4 8 5 |