Atkin-Lehner |
2+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73346d |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-536277787136 = -1 · 29 · 7 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-680,35830] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:103:1] |
Generators of the group modulo torsion |
j |
-7189057/111104 |
j-invariant |
L |
2.4713138306105 |
L(r)(E,1)/r! |
Ω |
0.78178639860472 |
Real period |
R |
1.5805556576163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
434b1 |
Quadratic twists by: 13 |