Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200v |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-3724160000000 = -1 · 213 · 57 · 11 · 232 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11+ 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,-111488] |
[a1,a2,a3,a4,a6] |
Generators |
[72:200:1] [122:-1150:1] |
Generators of the group modulo torsion |
j |
-47045881/58190 |
j-invariant |
L |
8.5513374979508 |
L(r)(E,1)/r! |
Ω |
0.30789031546106 |
Real period |
R |
1.7358733508302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650u1 20240t1 |
Quadratic twists by: -4 5 |