Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98208bb |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
661373953929216 = 212 · 316 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33564,2017600] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:1980:1] |
Generators of the group modulo torsion |
j |
1400416996672/221492799 |
j-invariant |
L |
8.2253335806039 |
L(r)(E,1)/r! |
Ω |
0.4890774532963 |
Real period |
R |
2.1022574021504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208u2 32736e2 |
Quadratic twists by: -4 -3 |