Atkin-Lehner |
2- 3+ 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65142r |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1066225312966968 = -1 · 23 · 39 · 72 · 113 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25405,-203525] |
[a1,a2,a3,a4,a6] |
Generators |
[397:8306:1] |
Generators of the group modulo torsion |
j |
92131054867125/54169857896 |
j-invariant |
L |
10.740610224175 |
L(r)(E,1)/r! |
Ω |
0.28851754435894 |
Real period |
R |
3.102240641932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65142d1 |
Quadratic twists by: -3 |