Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216bp |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6814948608 = -1 · 28 · 36 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,465,938] |
[a1,a2,a3,a4,a6] |
Generators |
[80810:752479:1000] |
Generators of the group modulo torsion |
j |
59582000/36517 |
j-invariant |
L |
7.4927221058475 |
L(r)(E,1)/r! |
Ω |
0.82043446226143 |
Real period |
R |
9.1326272161723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24804i2 11024j2 |
Quadratic twists by: -4 -3 |