Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400dl |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-2530978231040000000 = -1 · 214 · 57 · 711 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 5 3 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,156800,-72716000] |
[a1,a2,a3,a4,a6] |
j |
14155776/84035 |
j-invariant |
L |
2.0581701102011 |
L(r)(E,1)/r! |
Ω |
0.12863563074253 |
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 |
78400ja1 4900n1 15680bb1 11200y1 |
Quadratic twists by: -4 8 5 -7 |