Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400q |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-7378945280000000 = -1 · 214 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 2 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34300,-4802000] |
[a1,a2,a3,a4,a6] |
Generators |
[490:-9800:1] |
Generators of the group modulo torsion |
j |
-3024/5 |
j-invariant |
L |
3.4124763267386 |
L(r)(E,1)/r! |
Ω |
0.16595886047661 |
Real period |
R |
0.42837879613027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400gm1 4900c1 15680bk1 78400de1 |
Quadratic twists by: -4 8 5 -7 |