Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872ct |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-19043163697840128 = -1 · 218 · 36 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60352,3413556] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-3234:1] |
Generators of the group modulo torsion |
j |
50447927375/39517632 |
j-invariant |
L |
6.6032649111285 |
L(r)(E,1)/r! |
Ω |
0.24824765878862 |
Real period |
R |
0.55415636003633 |
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 |
3234p1 103488fc1 77616eu1 3696n1 |
Quadratic twists by: -4 8 -3 -7 |