Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
12450o |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
620010000000 = 27 · 32 · 57 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85463,9580781] |
[a1,a2,a3,a4,a6] |
Generators |
[65:2042:1] |
Generators of the group modulo torsion |
j |
4418129129836969/39680640 |
j-invariant |
L |
6.1265958863607 |
L(r)(E,1)/r! |
Ω |
0.82339178467194 |
Real period |
R |
0.26573861922685 |
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 |
99600cq2 37350g2 2490f2 |
Quadratic twists by: -4 -3 5 |