Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400a |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-142701750000 = -1 · 24 · 39 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 -1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,77625] |
[a1,a2,a3,a4,a6] |
Generators |
[210:675:8] |
Generators of the group modulo torsion |
j |
-864000/29 |
j-invariant |
L |
6.8749317198406 |
L(r)(E,1)/r! |
Ω |
1.0274181808229 |
Real period |
R |
1.6728659912341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999795541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52200bk1 104400f1 4176a1 |
Quadratic twists by: -4 -3 5 |