Atkin-Lehner |
3+ 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75999b |
Isogeny class |
Conductor |
75999 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-14457930669567 = -1 · 32 · 710 · 112 · 47 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11+ 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3405,167616] |
[a1,a2,a3,a4,a6] |
Generators |
[720:19044:1] |
Generators of the group modulo torsion |
j |
37092620375/122890383 |
j-invariant |
L |
5.8469592321042 |
L(r)(E,1)/r! |
Ω |
0.49744448817668 |
Real period |
R |
2.9384983503346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10857a1 |
Quadratic twists by: -7 |