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 |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-44306583552 = -1 · 212 · 33 · 7 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2375,46271] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:232:1] |
Generators of the group modulo torsion |
j |
-54850342849875/1640984576 |
j-invariant |
L |
10.109875806507 |
L(r)(E,1)/r! |
Ω |
1.1342483410408 |
Real period |
R |
1.1141603034255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59598c2 |
Quadratic twists by: -3 |