Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450dj |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
2160 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-2.7288737152092E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-936230,-867670603] |
[a1,a2,a3,a4,a6] |
Generators |
[8979:840835:1] |
Generators of the group modulo torsion |
j |
-7967524044697489/23957190366720 |
j-invariant |
L |
9.8809575846612 |
L(r)(E,1)/r! |
Ω |
0.070929446596482 |
Real period |
R |
0.064493910749801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150t1 19890o1 |
Quadratic twists by: -3 5 |