Atkin-Lehner |
2+ 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570c |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-9302040 = -1 · 23 · 36 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-73,253] |
[a1,a2,a3,a4,a6] |
Generators |
[1:13:1] |
Generators of the group modulo torsion |
j |
-43949604889/9302040 |
j-invariant |
L |
2.2113421851433 |
L(r)(E,1)/r! |
Ω |
2.2066483617316 |
Real period |
R |
0.50106356397628 |
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 |
76560by1 28710bl1 47850ct1 105270bl1 |
Quadratic twists by: -4 -3 5 -11 |