Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570q |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-651917970 = -1 · 2 · 35 · 5 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,214,-151] |
[a1,a2,a3,a4,a6] |
Generators |
[46:263:8] |
Generators of the group modulo torsion |
j |
1083523132511/651917970 |
j-invariant |
L |
5.7143228071621 |
L(r)(E,1)/r! |
Ω |
0.94179546558416 |
Real period |
R |
2.0224925035847 |
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 |
76560cb1 28710q1 47850bi1 105270h1 |
Quadratic twists by: -4 -3 5 -11 |