Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960bu |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
5.1546089550284E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7813115,-8337233262] |
[a1,a2,a3,a4,a6] |
Generators |
[16473:2081667:1] |
Generators of the group modulo torsion |
j |
28021294529409501184/273834082473525 |
j-invariant |
L |
8.4593249751903 |
L(r)(E,1)/r! |
Ω |
0.090354488300843 |
Real period |
R |
1.3003296986994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280b1 |
Quadratic twists by: -7 |