Atkin-Lehner |
2+ 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302g |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
18105984 = 27 · 33 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 -6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-519,-4419] |
[a1,a2,a3,a4,a6] |
j |
3391922547/3968 |
j-invariant |
L |
2.0004560426018 |
L(r)(E,1)/r! |
Ω |
1.0002279901446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302bo1 94302bi1 |
Quadratic twists by: -3 13 |