Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952dy |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-111884838395904 = -1 · 213 · 39 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -1 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60123,5697034] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-918:1] [-75:3128:1] |
Generators of the group modulo torsion |
j |
-3352478521/15606 |
j-invariant |
L |
11.668520967141 |
L(r)(E,1)/r! |
Ω |
0.59576173009141 |
Real period |
R |
0.61205891867211 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994bz1 39984cq1 119952ep1 |
Quadratic twists by: -4 -3 -7 |