Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400be |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2408448 |
Modular degree for the optimal curve |
Δ |
-8.0707214E+20 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 -1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1051867,-1301880637] |
[a1,a2,a3,a4,a6] |
j |
12459008/78125 |
j-invariant |
L |
0.31775067347653 |
L(r)(E,1)/r! |
Ω |
0.079437666046493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400hw1 9800bd1 15680bq1 78400bt1 |
Quadratic twists by: -4 8 5 -7 |