Atkin-Lehner |
2- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
61798f |
Isogeny class |
Conductor |
61798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-568560191681108 = -1 · 22 · 112 · 537 |
Discriminant |
Eigenvalues |
2- -1 0 -2 11+ 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1463,-1148031] |
[a1,a2,a3,a4,a6] |
j |
-15625/25652 |
j-invariant |
L |
1.872960243933 |
L(r)(E,1)/r! |
Ω |
0.23412003120836 |
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 |
1166a1 |
Quadratic twists by: 53 |