Atkin-Lehner |
3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241k |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2243808 |
Modular degree for the optimal curve |
Δ |
3236514683140557 = 37 · 710 · 132 · 31 |
Discriminant |
Eigenvalues |
2 3+ -2 7- 3 13+ 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9086184,10544965661] |
[a1,a2,a3,a4,a6] |
Generators |
[8896090604:2804705663:5088448] |
Generators of the group modulo torsion |
j |
293689176534519808/11457693 |
j-invariant |
L |
9.0611488011608 |
L(r)(E,1)/r! |
Ω |
0.33169602578139 |
Real period |
R |
13.658814240885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59241o1 |
Quadratic twists by: -7 |