Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248o |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
1195883651400704 = 210 · 73 · 237 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1392504,632008036] |
[a1,a2,a3,a4,a6] |
Generators |
[1510:-44436:1] |
Generators of the group modulo torsion |
j |
1969910093092/7889 |
j-invariant |
L |
3.9951665229735 |
L(r)(E,1)/r! |
Ω |
0.42769323298639 |
Real period |
R |
0.7784330400863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29624l1 2576c1 |
Quadratic twists by: -4 -23 |