Atkin-Lehner |
2+ 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42952a |
Isogeny class |
Conductor |
42952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2155776 |
Modular degree for the optimal curve |
Δ |
-1612353726221056 = -1 · 28 · 77 · 133 · 592 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ -2 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123950505,-531195451013] |
[a1,a2,a3,a4,a6] |
Generators |
[19672210866:-1559042453299:1225043] |
Generators of the group modulo torsion |
j |
-822675666754661647439297536/6298256743051 |
j-invariant |
L |
3.1360639079191 |
L(r)(E,1)/r! |
Ω |
0.022623379649656 |
Real period |
R |
17.327560893221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904i1 |
Quadratic twists by: -4 |