Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715h |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
22963155580305 = 38 · 5 · 176 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8676,-212412] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:312:1] |
Generators of the group modulo torsion |
j |
2992209121/951345 |
j-invariant |
L |
4.5957088506403 |
L(r)(E,1)/r! |
Ω |
0.50708696914906 |
Real period |
R |
4.5314798535892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
435d1 |
Quadratic twists by: 17 |