Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710bm |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2974369076280 = 23 · 37 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4667,-89229] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:144:1] |
Generators of the group modulo torsion |
j |
15417797707369/4080067320 |
j-invariant |
L |
7.2051879166321 |
L(r)(E,1)/r! |
Ω |
0.58900677082075 |
Real period |
R |
0.6795986691849 |
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 |
85680ew2 3570c2 53550be2 74970cy2 |
Quadratic twists by: -4 -3 5 -7 |