Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400f |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1.84473632E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,194367,-204060863] |
[a1,a2,a3,a4,a6] |
Generators |
[6207:490000:1] |
Generators of the group modulo torsion |
j |
137564/3125 |
j-invariant |
L |
4.7690821093326 |
L(r)(E,1)/r! |
Ω |
0.1056228195106 |
Real period |
R |
1.8813335560889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ga1 9800w1 15680be1 78400bc1 |
Quadratic twists by: -4 8 5 -7 |