Atkin-Lehner |
2- 5+ 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17690f |
Isogeny class |
Conductor |
17690 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2800 |
Modular degree for the optimal curve |
Δ |
283040 = 25 · 5 · 29 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -2 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-148,727] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-3:1] |
Generators of the group modulo torsion |
j |
356250045969/283040 |
j-invariant |
L |
7.0383472907067 |
L(r)(E,1)/r! |
Ω |
3.0614353200885 |
Real period |
R |
0.45980702218482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88450b1 |
Quadratic twists by: 5 |