Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105b |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-8832498675 = -1 · 3 · 52 · 77 · 11 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11+ 13+ -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261,4892] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:633:8] [26:122:1] |
Generators of the group modulo torsion |
j |
-16777216/75075 |
j-invariant |
L |
7.1962300461597 |
L(r)(E,1)/r! |
Ω |
1.1328351629429 |
Real period |
R |
0.79405087828762 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999964429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015s1 |
Quadratic twists by: -7 |