Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786ct |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-184624333780656 = -1 · 24 · 3 · 77 · 115 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11808,-427344] |
[a1,a2,a3,a4,a6] |
j |
1547612421263/1569280944 |
j-invariant |
L |
2.4712631402953 |
L(r)(E,1)/r! |
Ω |
0.30890789321787 |
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 |
13398x1 |
Quadratic twists by: -7 |