Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3400c |
Isogeny class |
Conductor |
3400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
68000000 = 28 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,212] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] |
Generators of the group modulo torsion |
j |
35152/17 |
j-invariant |
L |
4.6523260200912 |
L(r)(E,1)/r! |
Ω |
1.7383664177132 |
Real period |
R |
2.6762631702304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6800d1 27200n1 30600ci1 136a1 |
Quadratic twists by: -4 8 -3 5 |