Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
94752z |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-8703350208 = -1 · 26 · 310 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,-3512] |
[a1,a2,a3,a4,a6] |
Generators |
[36:238:1] |
Generators of the group modulo torsion |
j |
125000000/186543 |
j-invariant |
L |
8.0204074164074 |
L(r)(E,1)/r! |
Ω |
0.690481397948 |
Real period |
R |
2.903918714403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752bk1 31584j1 |
Quadratic twists by: -4 -3 |