Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240bf |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-19013513460480 = -1 · 28 · 313 · 5 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6161,-282525] |
[a1,a2,a3,a4,a6] |
Generators |
[109:594:1] |
Generators of the group modulo torsion |
j |
-101043379262464/74271536955 |
j-invariant |
L |
4.9558181083854 |
L(r)(E,1)/r! |
Ω |
0.26105019853024 |
Real period |
R |
0.24338663579804 |
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 |
18480b1 73920bq1 27720u1 46200e1 |
Quadratic twists by: -4 8 -3 5 |