Atkin-Lehner |
2- 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
91980s |
Isogeny class |
Conductor |
91980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
89404560 = 24 · 37 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-633,6113] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-9:1] [-7:101:1] |
Generators of the group modulo torsion |
j |
2404846336/7665 |
j-invariant |
L |
9.9717157840493 |
L(r)(E,1)/r! |
Ω |
1.9172480126053 |
Real period |
R |
0.43342139875916 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660k1 |
Quadratic twists by: -3 |