Atkin-Lehner |
2- 3+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598o |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-94472073411408 = -1 · 24 · 39 · 73 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10825,172639] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-1198:1] |
Generators of the group modulo torsion |
j |
7127771131125/4799678576 |
j-invariant |
L |
10.109875806507 |
L(r)(E,1)/r! |
Ω |
0.37808278034694 |
Real period |
R |
0.37138676780851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59598c1 |
Quadratic twists by: -3 |