Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400ge |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
92236816000000 = 210 · 56 · 78 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11433,92737] |
[a1,a2,a3,a4,a6] |
j |
1792 |
j-invariant |
L |
1.5636883705657 |
L(r)(E,1)/r! |
Ω |
0.52122945886273 |
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 |
78400c1 19600bs1 3136o1 78400hl1 |
Quadratic twists by: -4 8 5 -7 |