Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98208a |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[194:2231:8] |
Generators of the group modulo torsion |
j |
64964808000/10158731 |
j-invariant |
L |
7.849085252833 |
L(r)(E,1)/r! |
Ω |
0.67973938717441 |
Real period |
R |
5.7735989717358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208r1 98208p1 |
Quadratic twists by: -4 -3 |