Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10512h |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
71605389312 = 211 · 38 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,84778] |
[a1,a2,a3,a4,a6] |
Generators |
[47:126:1] |
Generators of the group modulo torsion |
j |
3676531250/47961 |
j-invariant |
L |
4.0572101109099 |
L(r)(E,1)/r! |
Ω |
1.0975145403409 |
Real period |
R |
1.8483628060407 |
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 |
5256l2 42048cc2 3504j2 |
Quadratic twists by: -4 8 -3 |