Atkin-Lehner |
3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105903a |
Isogeny class |
Conductor |
105903 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-433126299203210403 = -1 · 33 · 72 · 419 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 3 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-252150,58117633] |
[a1,a2,a3,a4,a6] |
Generators |
[1394:35297:8] |
Generators of the group modulo torsion |
j |
-13824000000/3377129 |
j-invariant |
L |
5.1748438791596 |
L(r)(E,1)/r! |
Ω |
0.28374258820214 |
Real period |
R |
2.2797264479754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105903b2 2583b1 |
Quadratic twists by: -3 41 |