Atkin-Lehner |
2+ 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786bf |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-632723896713216 = -1 · 214 · 3 · 79 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ 1 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16000,1437902] |
[a1,a2,a3,a4,a6] |
Generators |
[2019:-22975:27] |
Generators of the group modulo torsion |
j |
-11224377919/15679488 |
j-invariant |
L |
3.5468434345441 |
L(r)(E,1)/r! |
Ω |
0.46207008576434 |
Real period |
R |
1.9189964682184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999547188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93786g1 |
Quadratic twists by: -7 |