Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800p |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
676512000 = 28 · 36 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35228,-2533248] |
[a1,a2,a3,a4,a6] |
j |
151094976293648/21141 |
j-invariant |
L |
2.7878315009012 |
L(r)(E,1)/r! |
Ω |
0.34847893761234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17400s1 104400cm1 34800bo1 |
Quadratic twists by: -4 -3 5 |