Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400bi |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-14648745024000000 = -1 · 212 · 34 · 56 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45233,6885663] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:3075:1] |
Generators of the group modulo torsion |
j |
-159926162752/228886641 |
j-invariant |
L |
6.2422678206284 |
L(r)(E,1)/r! |
Ω |
0.3553456359009 |
Real period |
R |
0.54896092562976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400l2 3936d4 |
Quadratic twists by: -4 5 |