Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600ce |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-6123520000 = -1 · 215 · 54 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- -5 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875,10650] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:130:1] [5:80:1] |
Generators of the group modulo torsion |
j |
-28940625/2392 |
j-invariant |
L |
9.942459702163 |
L(r)(E,1)/r! |
Ω |
1.3153168880317 |
Real period |
R |
0.62991535834506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14950bb1 119600bc1 |
Quadratic twists by: -4 5 |