Atkin-Lehner |
2+ 3+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050k |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
333742080 |
Modular degree for the optimal curve |
Δ |
3.225969462912E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65632506075,6471795111172125] |
[a1,a2,a3,a4,a6] |
Generators |
[726686182:-366121587:4913] |
Generators of the group modulo torsion |
j |
16008499818341876301953259220037/1651696365010944 |
j-invariant |
L |
4.4127358838867 |
L(r)(E,1)/r! |
Ω |
0.055259488208287 |
Real period |
R |
5.7039149888253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999115328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050ci1 |
Quadratic twists by: 5 |