Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24900m |
Isogeny class |
Conductor |
24900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
498960 |
Modular degree for the optimal curve |
Δ |
-338990467500000000 = -1 · 28 · 39 · 510 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4448333,-3612729537] |
[a1,a2,a3,a4,a6] |
Generators |
[24986:911091:8] |
Generators of the group modulo torsion |
j |
-3893818226483200/135596187 |
j-invariant |
L |
6.1527674159016 |
L(r)(E,1)/r! |
Ω |
0.051977970795093 |
Real period |
R |
6.5762554167813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600ca1 74700o1 24900i1 |
Quadratic twists by: -4 -3 5 |