Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98400bv |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1089288000000 = -1 · 29 · 34 · 56 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2808,77112] |
[a1,a2,a3,a4,a6] |
Generators |
[37:150:1] [81:612:1] |
Generators of the group modulo torsion |
j |
-306182024/136161 |
j-invariant |
L |
9.8205478059317 |
L(r)(E,1)/r! |
Ω |
0.81557811317457 |
Real period |
R |
6.0206052907182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400u2 3936a2 |
Quadratic twists by: -4 5 |