Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12320n |
Isogeny class |
Conductor |
12320 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
332024000000 = 29 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3200,-65000] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:70:1] |
Generators of the group modulo torsion |
j |
7080100070408/648484375 |
j-invariant |
L |
3.5436423678506 |
L(r)(E,1)/r! |
Ω |
0.63846821663168 |
Real period |
R |
0.30834584292191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12320b2 24640j2 110880bf2 61600i2 |
Quadratic twists by: -4 8 -3 5 |