Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952ci |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-3170946143748096 = -1 · 223 · 33 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 1 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41307,4216842] |
[a1,a2,a3,a4,a6] |
Generators |
[231:2646:1] |
Generators of the group modulo torsion |
j |
-599077107/243712 |
j-invariant |
L |
8.2255206507445 |
L(r)(E,1)/r! |
Ω |
0.42076684511876 |
Real period |
R |
2.4436100273707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994bp1 119952cz1 17136u1 |
Quadratic twists by: -4 -3 -7 |