Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608be |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-48795137317956096 = -1 · 29 · 313 · 173 · 233 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-495147,-134526818] |
[a1,a2,a3,a4,a6] |
Generators |
[2517:120686:1] |
Generators of the group modulo torsion |
j |
-35969026108901192/130731142077 |
j-invariant |
L |
5.2450977471082 |
L(r)(E,1)/r! |
Ω |
0.089968717627772 |
Real period |
R |
7.2873909622624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999795856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608j1 37536l1 |
Quadratic twists by: -4 -3 |