Atkin-Lehner |
2- 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15470n |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
6.3926333516795E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102711247,-400631670889] |
[a1,a2,a3,a4,a6] |
Generators |
[-5841:3226:1] |
Generators of the group modulo torsion |
j |
119833353753791357767404000321/639263335167953699840 |
j-invariant |
L |
7.3433230686324 |
L(r)(E,1)/r! |
Ω |
0.047423673670735 |
Real period |
R |
3.8711272768625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760bv4 77350j4 108290y4 |
Quadratic twists by: -4 5 -7 |