Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800ch |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-27499085280000 = -1 · 28 · 35 · 54 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 2 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2733,259137] |
[a1,a2,a3,a4,a6] |
Generators |
[701:18502:1] |
Generators of the group modulo torsion |
j |
-14115020800/171869283 |
j-invariant |
L |
5.7523630128885 |
L(r)(E,1)/r! |
Ω |
0.56583323671778 |
Real period |
R |
2.5415452113844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8700q1 104400fv1 34800ct1 |
Quadratic twists by: -4 -3 5 |