Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800be |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
10250323200 = 28 · 36 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-900,9180] |
[a1,a2,a3,a4,a6] |
Generators |
[1:91:1] |
Generators of the group modulo torsion |
j |
17280000/2197 |
j-invariant |
L |
6.2664359000842 |
L(r)(E,1)/r! |
Ω |
1.2403580499774 |
Real period |
R |
1.6840395132148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23400q1 5200g1 46800bl1 |
Quadratic twists by: -4 -3 5 |