Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960k |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.653399280638E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,377039,174036661] |
[a1,a2,a3,a4,a6] |
Generators |
[565:23814:1] |
Generators of the group modulo torsion |
j |
196812727307264/548971171875 |
j-invariant |
L |
5.0884669068436 |
L(r)(E,1)/r! |
Ω |
0.15437976533152 |
Real period |
R |
1.0300222318383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14280u1 |
Quadratic twists by: -7 |