Atkin-Lehner |
3- 5+ 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
25185d |
Isogeny class |
Conductor |
25185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
679995 = 34 · 5 · 23 · 73 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44774,-3650263] |
[a1,a2,a3,a4,a6] |
Generators |
[-1035267406241270070:513319380925458079:8468457521887000] |
Generators of the group modulo torsion |
j |
9926301300073673689/679995 |
j-invariant |
L |
7.5696341703882 |
L(r)(E,1)/r! |
Ω |
0.32820428200863 |
Real period |
R |
23.063788577229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75555h4 125925i4 |
Quadratic twists by: -3 5 |