Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800ba |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
6259194000000000 = 210 · 310 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131208,17849088] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:6000:1] |
Generators of the group modulo torsion |
j |
124904467796/3129597 |
j-invariant |
L |
7.3164107077824 |
L(r)(E,1)/r! |
Ω |
0.42285537771417 |
Real period |
R |
1.7302394845568 |
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 |
63600j2 95400m2 31800j2 |
Quadratic twists by: -4 -3 5 |