Atkin-Lehner |
2+ 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328a |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1717248 = 210 · 3 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2237,-39987] |
[a1,a2,a3,a4,a6] |
j |
1209527744512/1677 |
j-invariant |
L |
1.3883433875554 |
L(r)(E,1)/r! |
Ω |
0.69417172103155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328ce1 13416j1 |
Quadratic twists by: -4 8 |