Atkin-Lehner |
2+ 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9394b |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
263032 = 23 · 72 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- 11- -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18,12] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
594823321/263032 |
j-invariant |
L |
2.7879603071319 |
L(r)(E,1)/r! |
Ω |
2.7916417521082 |
Real period |
R |
0.49934063083605 |
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 |
75152c1 84546bq1 65758k1 103334bb1 |
Quadratic twists by: -4 -3 -7 -11 |