Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800m |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
8352000 = 28 · 32 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-428,3552] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:80:1] [-4:72:1] |
Generators of the group modulo torsion |
j |
271593488/261 |
j-invariant |
L |
7.3222557271481 |
L(r)(E,1)/r! |
Ω |
2.31415623199 |
Real period |
R |
1.5820573446875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17400p1 104400cd1 34800bl1 |
Quadratic twists by: -4 -3 5 |