Atkin-Lehner |
2+ 3+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838r |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-5382590727516912 = -1 · 24 · 35 · 710 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34423,-4315835] |
[a1,a2,a3,a4,a6] |
j |
-38344346064361/45751266288 |
j-invariant |
L |
2.681406884507 |
L(r)(E,1)/r! |
Ω |
0.16758788980142 |
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 |
15834i1 |
Quadratic twists by: -7 |