Atkin-Lehner |
2- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58300k |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56640 |
Modular degree for the optimal curve |
Δ |
-18218750000 = -1 · 24 · 59 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 1 5- 5 11+ 1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2333,43088] |
[a1,a2,a3,a4,a6] |
Generators |
[44:166:1] |
Generators of the group modulo torsion |
j |
-44957696/583 |
j-invariant |
L |
9.0001180159408 |
L(r)(E,1)/r! |
Ω |
1.2303524713256 |
Real period |
R |
3.6575364481135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58300l1 |
Quadratic twists by: 5 |