Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575k |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5093954111576171875 = -1 · 59 · 118 · 233 |
Discriminant |
Eigenvalues |
0 2 5+ 1 11- 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,177467,104647718] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:5437:1] |
Generators of the group modulo torsion |
j |
184549376/1520875 |
j-invariant |
L |
8.0447640328742 |
L(r)(E,1)/r! |
Ω |
0.17719491138124 |
Real period |
R |
3.7833874428589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915b2 69575l2 |
Quadratic twists by: 5 -11 |