Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105cd |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-5626301655975 = -1 · 3 · 52 · 79 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4409,-17704] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3493:1] |
Generators of the group modulo torsion |
j |
234885113/139425 |
j-invariant |
L |
4.9601797169574 |
L(r)(E,1)/r! |
Ω |
0.44472200668869 |
Real period |
R |
5.5767194227685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105105bi1 |
Quadratic twists by: -7 |