Atkin-Lehner |
2+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126514b |
Isogeny class |
Conductor |
126514 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
7534864230045132424 = 23 · 173 · 618 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 -3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1309870,-561811208] |
[a1,a2,a3,a4,a6] |
Generators |
[53022:1772579:27] |
Generators of the group modulo torsion |
j |
1296489913/39304 |
j-invariant |
L |
1.94572616278 |
L(r)(E,1)/r! |
Ω |
0.14138329991321 |
Real period |
R |
4.5873554830509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999989442187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126514k2 |
Quadratic twists by: 61 |