Atkin-Lehner |
2- 3- 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830bz |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-235874773440 = -1 · 26 · 312 · 5 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,652,-22633] |
[a1,a2,a3,a4,a6] |
Generators |
[25:81:1] |
Generators of the group modulo torsion |
j |
42107871239/323559360 |
j-invariant |
L |
8.6729177828227 |
L(r)(E,1)/r! |
Ω |
0.49212048353187 |
Real period |
R |
2.9372609556247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610s1 |
Quadratic twists by: -3 |