Atkin-Lehner |
3- 5+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
22515c |
Isogeny class |
Conductor |
22515 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2161102275 = 36 · 52 · 19 · 792 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-324,91] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:48:1] |
Generators of the group modulo torsion |
j |
3744815880889/2161102275 |
j-invariant |
L |
5.8719663874832 |
L(r)(E,1)/r! |
Ω |
1.2453636966937 |
Real period |
R |
0.78584357901134 |
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 |
67545k2 112575c2 |
Quadratic twists by: -3 5 |