Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
105710g |
Isogeny class |
Conductor |
105710 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2276640 |
Modular degree for the optimal curve |
Δ |
-5675989854169855000 = -1 · 23 · 54 · 113 · 318 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-346941,138987721] |
[a1,a2,a3,a4,a6] |
Generators |
[2376:111637:1] |
Generators of the group modulo torsion |
j |
-5414983249/6655000 |
j-invariant |
L |
7.5543460981353 |
L(r)(E,1)/r! |
Ω |
0.21733030173561 |
Real period |
R |
5.7932910007144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014258 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
105710f1 |
Quadratic twists by: -31 |