Atkin-Lehner |
2+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35392h |
Isogeny class |
Conductor |
35392 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1086128976429056 = -1 · 217 · 75 · 793 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 3 -3 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2849,-1587649] |
[a1,a2,a3,a4,a6] |
j |
-19518370706/8286506473 |
j-invariant |
L |
2.200716464227 |
L(r)(E,1)/r! |
Ω |
0.22007164642226 |
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 |
35392o1 4424a1 |
Quadratic twists by: -4 8 |