Atkin-Lehner |
3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
94815b |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2489361662025 = 39 · 52 · 76 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3390,4031] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:241:1] [-22:271:1] |
Generators of the group modulo torsion |
j |
1860867/1075 |
j-invariant |
L |
12.382412189927 |
L(r)(E,1)/r! |
Ω |
0.69113714164182 |
Real period |
R |
8.9579993927346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94815f1 1935d1 |
Quadratic twists by: -3 -7 |