Atkin-Lehner |
2+ 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110768i |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-5838221505536 = -1 · 210 · 78 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- -3 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2784,-130204] |
[a1,a2,a3,a4,a6] |
Generators |
[232:3430:1] |
Generators of the group modulo torsion |
j |
-2331242411908/5701388189 |
j-invariant |
L |
6.1404927734116 |
L(r)(E,1)/r! |
Ω |
0.30636251665804 |
Real period |
R |
1.2527015411999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55384g1 |
Quadratic twists by: -4 |