Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784s |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-5111479296 = -1 · 210 · 33 · 75 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,3753] |
[a1,a2,a3,a4,a6] |
Generators |
[8:49:1] |
Generators of the group modulo torsion |
j |
-1235663104/4991679 |
j-invariant |
L |
4.7825684331344 |
L(r)(E,1)/r! |
Ω |
1.1889622813809 |
Real period |
R |
0.80449455933621 |
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 |
14784cd1 1848g1 44352by1 103488dw1 |
Quadratic twists by: -4 8 -3 -7 |