Atkin-Lehner |
3+ 5+ 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41055b |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-35923125 = -1 · 3 · 54 · 72 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -3 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,77,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-28:1] [14:56:1] |
Generators of the group modulo torsion |
j |
49471280711/35923125 |
j-invariant |
L |
8.2981934433493 |
L(r)(E,1)/r! |
Ω |
1.1573168686835 |
Real period |
R |
1.7925500068078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123165l1 |
Quadratic twists by: -3 |