Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960r |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-1.09577463975E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2438000,-625062500] |
[a1,a2,a3,a4,a6] |
Generators |
[530:28560:1] [1050:55600:1] |
Generators of the group modulo torsion |
j |
4562790841518763172/3119802978515625 |
j-invariant |
L |
10.672846757949 |
L(r)(E,1)/r! |
Ω |
0.087791512401389 |
Real period |
R |
1.013086427437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960bd1 |
Quadratic twists by: -7 |