Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46512i |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
110673257472 = 210 · 39 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444747,114160970] |
[a1,a2,a3,a4,a6] |
Generators |
[377:272:1] |
Generators of the group modulo torsion |
j |
13032727327528996/148257 |
j-invariant |
L |
3.6415534560376 |
L(r)(E,1)/r! |
Ω |
0.74145363797518 |
Real period |
R |
1.2278426018595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23256i1 15504a1 |
Quadratic twists by: -4 -3 |