Atkin-Lehner |
3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
73101d |
Isogeny class |
Conductor |
73101 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-657909 = -1 · 33 · 7 · 592 |
Discriminant |
Eigenvalues |
-1 3- -1 7+ -4 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-161,774] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-5:1] |
Generators of the group modulo torsion |
j |
-132637369/189 |
j-invariant |
L |
3.8511255197601 |
L(r)(E,1)/r! |
Ω |
2.8713484809431 |
Real period |
R |
0.44707513369851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73101a1 |
Quadratic twists by: -59 |