Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98208r |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
12797075345472 = 26 · 39 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9045,-282852] |
[a1,a2,a3,a4,a6] |
j |
64964808000/10158731 |
j-invariant |
L |
1.978830690021 |
L(r)(E,1)/r! |
Ω |
0.49470768390618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208a1 98208c1 |
Quadratic twists by: -4 -3 |