Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103880r |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-43302959728000000 = -1 · 210 · 56 · 73 · 534 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15976,-10047360] |
[a1,a2,a3,a4,a6] |
Generators |
[11192:1184000:1] |
Generators of the group modulo torsion |
j |
-1283988029692/123288765625 |
j-invariant |
L |
3.7545006307284 |
L(r)(E,1)/r! |
Ω |
0.15959144436799 |
Real period |
R |
5.8814253049357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103880ba1 |
Quadratic twists by: -7 |