Atkin-Lehner |
2+ 3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7854a |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
3103398144 = 28 · 33 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-366,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:42:1] |
Generators of the group modulo torsion |
j |
5445273626857/3103398144 |
j-invariant |
L |
2.0332990742325 |
L(r)(E,1)/r! |
Ω |
1.2193768211749 |
Real period |
R |
1.6674903433653 |
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 |
62832bz1 23562bc1 54978y1 86394cj1 |
Quadratic twists by: -4 -3 -7 -11 |