Atkin-Lehner |
2- 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
101184bf |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-82566144 = -1 · 210 · 32 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 5 -2 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1969,-34297] |
[a1,a2,a3,a4,a6] |
j |
-824862293248/80631 |
j-invariant |
L |
5.7333328941289 |
L(r)(E,1)/r! |
Ω |
0.35833332879548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184d1 25296c1 |
Quadratic twists by: -4 8 |