Atkin-Lehner |
2+ 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448r |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-116301744 = -1 · 24 · 36 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 -2 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114,223] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:26:27] |
Generators of the group modulo torsion |
j |
14047232/9971 |
j-invariant |
L |
7.8876715964266 |
L(r)(E,1)/r! |
Ω |
1.1849557553499 |
Real period |
R |
3.3282557408225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55224i1 12272f1 |
Quadratic twists by: -4 -3 |