Atkin-Lehner |
2- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
66352f |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-14182954543087616 = -1 · 219 · 114 · 133 · 292 |
Discriminant |
Eigenvalues |
2- -1 1 3 11+ 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24480,5924608] |
[a1,a2,a3,a4,a6] |
j |
-396109944105121/3462635386496 |
j-invariant |
L |
2.7094961105567 |
L(r)(E,1)/r! |
Ω |
0.33868701285971 |
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 |
8294f1 |
Quadratic twists by: -4 |