Atkin-Lehner |
3- 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120099n |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
34631471292201 = 32 · 78 · 192 · 432 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93420,10978741] |
[a1,a2,a3,a4,a6] |
Generators |
[317759:-1710318:2197] |
Generators of the group modulo torsion |
j |
766387439142697/294362649 |
j-invariant |
L |
11.832035408624 |
L(r)(E,1)/r! |
Ω |
0.64204065476653 |
Real period |
R |
9.2143973451433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992516 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17157a2 |
Quadratic twists by: -7 |