Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472dn |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
3899456339968 = 214 · 77 · 172 |
Discriminant |
Eigenvalues |
2- -3 2 7- 0 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1135804,465911248] |
[a1,a2,a3,a4,a6] |
Generators |
[614:56:1] |
Generators of the group modulo torsion |
j |
34222845097047888/823543 |
j-invariant |
L |
4.2290906144435 |
L(r)(E,1)/r! |
Ω |
0.56908613965785 |
Real period |
R |
0.26540614040201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996446591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472o1 32368bg1 129472cs1 |
Quadratic twists by: -4 8 17 |