Atkin-Lehner |
2+ 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786k |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-48271426112448 = -1 · 26 · 32 · 77 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11+ -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3993,321525] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:291:1] [-21:489:1] |
Generators of the group modulo torsion |
j |
59822347031/410300352 |
j-invariant |
L |
4.8316766102131 |
L(r)(E,1)/r! |
Ω |
0.46200771629736 |
Real period |
R |
0.6536249882773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398i1 |
Quadratic twists by: -7 |