Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591y |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27095040 |
Modular degree for the optimal curve |
Δ |
-5.8445055796635E+19 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-443176173,-3590977799203] |
[a1,a2,a3,a4,a6] |
Generators |
[79539115436187086040350:6396990714815309358285273:2901481848354681656] |
Generators of the group modulo torsion |
j |
-7453654902730081529856/45254746691 |
j-invariant |
L |
12.839821035624 |
L(r)(E,1)/r! |
Ω |
0.016452255983009 |
Real period |
R |
32.51788348683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14399e1 11781f1 |
Quadratic twists by: -3 -11 |