Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952k |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
216044172670032 = 24 · 39 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55566,4991679] |
[a1,a2,a3,a4,a6] |
Generators |
[26157:791974:27] |
Generators of the group modulo torsion |
j |
1492992/17 |
j-invariant |
L |
5.1102605560216 |
L(r)(E,1)/r! |
Ω |
0.56331372317772 |
Real period |
R |
9.0717842167948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976e1 119952f1 119952e1 |
Quadratic twists by: -4 -3 -7 |