Atkin-Lehner |
2+ 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830y |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2983680 |
Modular degree for the optimal curve |
Δ |
1659929562871608960 = 27 · 315 · 5 · 195 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1186920,-493542720] |
[a1,a2,a3,a4,a6] |
Generators |
[2763:-132966:1] |
Generators of the group modulo torsion |
j |
253665107917672187521/2276995285146240 |
j-invariant |
L |
2.9667621226273 |
L(r)(E,1)/r! |
Ω |
0.14472028852645 |
Real period |
R |
1.0249986736084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000158256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41610bl1 |
Quadratic twists by: -3 |