Atkin-Lehner |
5+ 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675b |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
74400 |
Modular degree for the optimal curve |
Δ |
-40498046875 = -1 · 510 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
0 -2 5+ 3 11+ 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-833,13119] |
[a1,a2,a3,a4,a6] |
Generators |
[17:64:1] |
Generators of the group modulo torsion |
j |
-6553600/4147 |
j-invariant |
L |
3.6293401174177 |
L(r)(E,1)/r! |
Ω |
1.0606589875028 |
Real period |
R |
3.421778492358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675bc1 |
Quadratic twists by: 5 |