Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904be |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
914438688768 = 212 · 35 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2793,-34281] |
[a1,a2,a3,a4,a6] |
Generators |
[123:-1224:1] |
Generators of the group modulo torsion |
j |
588480472000/223251633 |
j-invariant |
L |
7.2571589392837 |
L(r)(E,1)/r! |
Ω |
0.67797113780117 |
Real period |
R |
0.53521149608378 |
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 |
35904t1 17952n1 107712bv1 |
Quadratic twists by: -4 8 -3 |