Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715b |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
-125715 = -1 · 3 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11,26] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] |
Generators of the group modulo torsion |
j |
-557056/435 |
j-invariant |
L |
4.7677454145912 |
L(r)(E,1)/r! |
Ω |
3.0306726828442 |
Real period |
R |
1.5731640563477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000174896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715bf1 |
Quadratic twists by: 17 |