Atkin-Lehner |
3+ 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
50589d |
Isogeny class |
Conductor |
50589 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-8519137011 = -1 · 39 · 72 · 112 · 73 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 11- 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-972,-12481] |
[a1,a2,a3,a4,a6] |
Generators |
[39:94:1] |
Generators of the group modulo torsion |
j |
-5159780352/432817 |
j-invariant |
L |
4.8570956839413 |
L(r)(E,1)/r! |
Ω |
0.42547573155094 |
Real period |
R |
1.426960259948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50589b1 |
Quadratic twists by: -3 |