Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bd |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-888268767232 = -1 · 214 · 7 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14833,691887] |
[a1,a2,a3,a4,a6] |
Generators |
[43:368:1] [59:160:1] |
Generators of the group modulo torsion |
j |
-22030281250000/54215623 |
j-invariant |
L |
8.3241929297539 |
L(r)(E,1)/r! |
Ω |
0.88920210815848 |
Real period |
R |
2.3403545871694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344dn1 14168h1 |
Quadratic twists by: -4 8 |