Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970bo |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-4461726831395680000 = -1 · 28 · 54 · 77 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,402158,-26411759] |
[a1,a2,a3,a4,a6] |
Generators |
[121:4839:1] |
Generators of the group modulo torsion |
j |
61140167145864351/37924052320000 |
j-invariant |
L |
10.633327255555 |
L(r)(E,1)/r! |
Ω |
0.14146349876232 |
Real period |
R |
1.174477796287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005214 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17710d1 |
Quadratic twists by: -7 |