Atkin-Lehner |
2+ 3- 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050p |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
220979036250000 = 24 · 36 · 57 · 74 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-193376,32706398] |
[a1,a2,a3,a4,a6] |
Generators |
[237:331:1] |
Generators of the group modulo torsion |
j |
51180930268781041/14142658320 |
j-invariant |
L |
5.6705578194845 |
L(r)(E,1)/r! |
Ω |
0.54719978652458 |
Real period |
R |
0.43178606236203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210z1 |
Quadratic twists by: 5 |