Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800q |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
575232 |
Modular degree for the optimal curve |
Δ |
-1788467175717120000 = -1 · 211 · 34 · 54 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-286208,-87158688] |
[a1,a2,a3,a4,a6] |
j |
-2025632080681250/1397239981029 |
j-invariant |
L |
2.4034014210565 |
L(r)(E,1)/r! |
Ω |
0.10014172587745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17400bp1 104400cl1 34800bc1 |
Quadratic twists by: -4 -3 5 |