Atkin-Lehner |
2+ 7- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110768k |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
775376 = 24 · 72 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-327,-2170] |
[a1,a2,a3,a4,a6] |
Generators |
[168639605584122:-2154624032895940:1014166373823] |
Generators of the group modulo torsion |
j |
242423339008/48461 |
j-invariant |
L |
13.246176866032 |
L(r)(E,1)/r! |
Ω |
1.1224246764315 |
Real period |
R |
23.602789846538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55384f1 |
Quadratic twists by: -4 |