Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712be |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
995823732068352 = 212 · 37 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40980,-2808992] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:527:1] |
Generators of the group modulo torsion |
j |
2548895896000/333499353 |
j-invariant |
L |
7.7779089468297 |
L(r)(E,1)/r! |
Ω |
0.3384462542275 |
Real period |
R |
2.8726529103119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ce1 53856bb1 35904bi1 |
Quadratic twists by: -4 8 -3 |