Atkin-Lehner |
5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119935d |
Isogeny class |
Conductor |
119935 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
29664 |
Modular degree for the optimal curve |
Δ |
-34661215 = -1 · 5 · 174 · 83 |
Discriminant |
Eigenvalues |
-1 2 5+ 0 0 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6,-286] |
[a1,a2,a3,a4,a6] |
Generators |
[18:67:1] [171:2158:1] |
Generators of the group modulo torsion |
j |
-289/415 |
j-invariant |
L |
9.8779334390598 |
L(r)(E,1)/r! |
Ω |
0.93413075720237 |
Real period |
R |
3.5248218255743 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119935f1 |
Quadratic twists by: 17 |