Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400l |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-14757890560000000 = -1 · 215 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 3 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80033,-10519937] |
[a1,a2,a3,a4,a6] |
Generators |
[653:14700:1] |
Generators of the group modulo torsion |
j |
-19208/5 |
j-invariant |
L |
4.7502115180312 |
L(r)(E,1)/r! |
Ω |
0.14001396913941 |
Real period |
R |
1.4136123785333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400h1 39200c1 15680a1 78400cf1 |
Quadratic twists by: -4 8 5 -7 |