Atkin-Lehner |
5+ 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675d |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
346752 |
Modular degree for the optimal curve |
Δ |
5062255859375 = 513 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
1 -2 5+ -3 11+ 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-57151,5252823] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:3171:1] |
Generators of the group modulo torsion |
j |
1321186915627489/323984375 |
j-invariant |
L |
3.5459191740308 |
L(r)(E,1)/r! |
Ω |
0.7480177302169 |
Real period |
R |
1.1851053261828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999700894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20735e1 |
Quadratic twists by: 5 |