Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20010i |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
7246965672000 = 26 · 310 · 53 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40599,3142522] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:2532:1] |
Generators of the group modulo torsion |
j |
7400385515776624489/7246965672000 |
j-invariant |
L |
4.4606927698555 |
L(r)(E,1)/r! |
Ω |
0.74066149831725 |
Real period |
R |
0.60225795184306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030bs1 100050bu1 |
Quadratic twists by: -3 5 |