Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786cb |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1862863723854404964 = 22 · 38 · 78 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-809089,-272650309] |
[a1,a2,a3,a4,a6] |
Generators |
[-533:3010:1] [28641:201890:27] |
Generators of the group modulo torsion |
j |
497879673215404033/15834080390436 |
j-invariant |
L |
12.731248119358 |
L(r)(E,1)/r! |
Ω |
0.1594947518488 |
Real period |
R |
19.955590968757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000884 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13398bf2 |
Quadratic twists by: -7 |