Atkin-Lehner |
2+ 3+ 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050h |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
555260832000 = 28 · 35 · 53 · 7 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2870,-48300] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:525:8] [-41:71:1] |
Generators of the group modulo torsion |
j |
20926461977693/4442086656 |
j-invariant |
L |
6.7567807405299 |
L(r)(E,1)/r! |
Ω |
0.66203845962954 |
Real period |
R |
5.1030122495338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050cl1 |
Quadratic twists by: 5 |