Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800q |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-166012000000 = -1 · 28 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2508,53012] |
[a1,a2,a3,a4,a6] |
Generators |
[41:132:1] |
Generators of the group modulo torsion |
j |
-1272112/121 |
j-invariant |
L |
10.191915227115 |
L(r)(E,1)/r! |
Ω |
0.99605801588726 |
Real period |
R |
2.5580626458227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4312l1 107800t1 |
Quadratic twists by: 5 -7 |