Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952co |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-118960026424049664 = -1 · 217 · 33 · 711 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -3 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,122157,-2305646] |
[a1,a2,a3,a4,a6] |
Generators |
[1785:76832:1] |
Generators of the group modulo torsion |
j |
15494117157/9143008 |
j-invariant |
L |
5.9139085277716 |
L(r)(E,1)/r! |
Ω |
0.19443404413405 |
Real period |
R |
0.95050042612984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994e1 119952cy1 17136p1 |
Quadratic twists by: -4 -3 -7 |