Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240bm |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51520 |
Modular degree for the optimal curve |
Δ |
-9440550000 = -1 · 24 · 36 · 55 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,477,2403] |
[a1,a2,a3,a4,a6] |
j |
1029037824/809375 |
j-invariant |
L |
1.6654194667439 |
L(r)(E,1)/r! |
Ω |
0.8327097671544 |
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 |
10360d1 |
Quadratic twists by: -3 |