Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562h |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-1248579325732230234 = -1 · 2 · 312 · 537 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 1 -2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,163800,47278674] |
[a1,a2,a3,a4,a6] |
j |
30080231/77274 |
j-invariant |
L |
0.76291048572249 |
L(r)(E,1)/r! |
Ω |
0.19072762138098 |
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 |
16854q1 954l1 |
Quadratic twists by: -3 53 |