Atkin-Lehner |
2- 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570r |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-29347591680000 = -1 · 212 · 33 · 54 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7614,53583] |
[a1,a2,a3,a4,a6] |
j |
48815614945382111/29347591680000 |
j-invariant |
L |
2.4365950884725 |
L(r)(E,1)/r! |
Ω |
0.40609918141208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76560bw1 28710n1 47850bl1 105270e1 |
Quadratic twists by: -4 -3 5 -11 |