Atkin-Lehner |
2- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65758m |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
70732461184 = 27 · 77 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1667,22721] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:201:1] |
Generators of the group modulo torsion |
j |
4354703137/601216 |
j-invariant |
L |
7.4471026721816 |
L(r)(E,1)/r! |
Ω |
1.0529929399876 |
Real period |
R |
0.25258284503145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394h1 |
Quadratic twists by: -7 |