Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400it |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
98724096000000 = 214 · 36 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21233,1083663] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:1200:1] [-17:1200:1] |
Generators of the group modulo torsion |
j |
4135597648/385641 |
j-invariant |
L |
12.312629953733 |
L(r)(E,1)/r! |
Ω |
0.58296057424446 |
Real period |
R |
1.7600718497412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110400q2 27600l2 4416q2 |
Quadratic twists by: -4 8 5 |