Atkin-Lehner |
2- 7- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110768q |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3151872 |
Modular degree for the optimal curve |
Δ |
-125568844518326272 = -1 · 216 · 7 · 236 · 432 |
Discriminant |
Eigenvalues |
2- -2 2 7- 4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11161192,14348341812] |
[a1,a2,a3,a4,a6] |
Generators |
[240580:38786:125] |
Generators of the group modulo torsion |
j |
-37540109966670836221033/30656456181232 |
j-invariant |
L |
6.180127736576 |
L(r)(E,1)/r! |
Ω |
0.27508998183661 |
Real period |
R |
5.6164601928289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13846c1 |
Quadratic twists by: -4 |