Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372q |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
205470720 |
Modular degree for the optimal curve |
Δ |
-8.8551672224074E+28 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16022387957,780755373437649] |
[a1,a2,a3,a4,a6] |
Generators |
[34235:16503102:1] |
Generators of the group modulo torsion |
j |
-9122691795384795136/1775882908917 |
j-invariant |
L |
2.7484195010727 |
L(r)(E,1)/r! |
Ω |
0.033000532522976 |
Real period |
R |
3.4701706504909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372bq1 7644d1 |
Quadratic twists by: -7 13 |