Atkin-Lehner |
5- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
78925m |
Isogeny class |
Conductor |
78925 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
-7311661328125 = -1 · 58 · 73 · 113 · 41 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11+ -2 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6430,-235678] |
[a1,a2,a3,a4,a6] |
j |
-75254638545/18717853 |
j-invariant |
L |
0.78939253982239 |
L(r)(E,1)/r! |
Ω |
0.26313085551825 |
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 |
78925b1 |
Quadratic twists by: 5 |