Atkin-Lehner |
2- 3- 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
92430bc |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-454240949760000 = -1 · 212 · 37 · 54 · 13 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10598,-1105419] |
[a1,a2,a3,a4,a6] |
Generators |
[185:1707:1] |
Generators of the group modulo torsion |
j |
-180563311508761/623101440000 |
j-invariant |
L |
7.5916662030327 |
L(r)(E,1)/r! |
Ω |
0.21614236219821 |
Real period |
R |
0.73173861532513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30810h1 |
Quadratic twists by: -3 |