Atkin-Lehner |
2- 5+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119990o |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30528 |
Modular degree for the optimal curve |
Δ |
2399800 = 23 · 52 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 -2 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
30584281/14200 |
j-invariant |
L |
6.4515519901843 |
L(r)(E,1)/r! |
Ω |
2.0377784431765 |
Real period |
R |
0.52766219970954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119990g1 |
Quadratic twists by: 13 |