Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
119652b |
Isogeny class |
Conductor |
119652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-3321694110384 = -1 · 24 · 36 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1803,81990] |
[a1,a2,a3,a4,a6] |
Generators |
[402:8100:1] |
Generators of the group modulo torsion |
j |
8388608/43011 |
j-invariant |
L |
7.5864481690217 |
L(r)(E,1)/r! |
Ω |
0.57188331070739 |
Real period |
R |
4.4219091787179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
708a1 |
Quadratic twists by: 13 |