Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952dh |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-13824228096 = -1 · 28 · 33 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -3 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22344,1285564] |
[a1,a2,a3,a4,a6] |
Generators |
[126:686:1] [86:-6:1] |
Generators of the group modulo torsion |
j |
-1517101056/17 |
j-invariant |
L |
9.6594336290203 |
L(r)(E,1)/r! |
Ω |
1.137740125246 |
Real period |
R |
1.0612521936536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29988q1 119952cs2 2448j1 |
Quadratic twists by: -4 -3 -7 |