Atkin-Lehner |
2+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800b |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-52659200 = -1 · 210 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 11+ 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,352] |
[a1,a2,a3,a4,a6] |
Generators |
[6:22:1] |
Generators of the group modulo torsion |
j |
-2500/2057 |
j-invariant |
L |
4.0762145741231 |
L(r)(E,1)/r! |
Ω |
1.6125288594829 |
Real period |
R |
0.63195994141366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37400e1 74800q1 |
Quadratic twists by: -4 5 |