Atkin-Lehner |
2- 3+ 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
102942bc |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
424320 |
Modular degree for the optimal curve |
Δ |
29339708083434 = 2 · 39 · 7 · 195 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27164,-1696571] |
[a1,a2,a3,a4,a6] |
Generators |
[-414679084:822557299:4410944] |
Generators of the group modulo torsion |
j |
112615610706171/1490611598 |
j-invariant |
L |
9.5156538155924 |
L(r)(E,1)/r! |
Ω |
0.37217757911641 |
Real period |
R |
12.783754784535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102942d1 |
Quadratic twists by: -3 |