Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
21300t |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1033562531250000 = 24 · 38 · 59 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-276333,55797588] |
[a1,a2,a3,a4,a6] |
Generators |
[183:3375:1] |
Generators of the group modulo torsion |
j |
74674705399808/33074001 |
j-invariant |
L |
7.1655083353118 |
L(r)(E,1)/r! |
Ω |
0.48484689330134 |
Real period |
R |
0.61578789393026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200cl1 63900s1 21300j1 |
Quadratic twists by: -4 -3 5 |