Atkin-Lehner |
2+ 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786be |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-9907928184 = -1 · 23 · 3 · 76 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 4 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-369,-5540] |
[a1,a2,a3,a4,a6] |
Generators |
[1588:923:64] |
Generators of the group modulo torsion |
j |
-47045881/84216 |
j-invariant |
L |
5.3606814134785 |
L(r)(E,1)/r! |
Ω |
0.51402332503556 |
Real period |
R |
5.2144339931009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914a1 |
Quadratic twists by: -7 |