Atkin-Lehner |
2+ 3+ 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642i |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-10300225935636 = -1 · 22 · 39 · 72 · 13 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -5 13+ 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2064,-150652] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5419:1] |
Generators of the group modulo torsion |
j |
49390467309/523305692 |
j-invariant |
L |
4.3550153566926 |
L(r)(E,1)/r! |
Ω |
0.35631814336793 |
Real period |
R |
0.50926111204738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999592918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642bj1 |
Quadratic twists by: -3 |