Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ka |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-25826308480000 = -1 · 210 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 1 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4900,205800] |
[a1,a2,a3,a4,a6] |
j |
172800/343 |
j-invariant |
L |
1.8498098036892 |
L(r)(E,1)/r! |
Ω |
0.46245243431887 |
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 |
78400eb1 19600bf1 78400gu1 11200cv1 |
Quadratic twists by: -4 8 5 -7 |