Atkin-Lehner |
2+ 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
112784b |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-353690624 = -1 · 210 · 73 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 0 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48,880] |
[a1,a2,a3,a4,a6] |
Generators |
[22:110:1] |
Generators of the group modulo torsion |
j |
11696828/345401 |
j-invariant |
L |
6.890173456796 |
L(r)(E,1)/r! |
Ω |
1.2820363967631 |
Real period |
R |
2.687198833518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56392i1 |
Quadratic twists by: -4 |