Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200cx |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1161843750000 = -1 · 24 · 37 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -3 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2625,3125] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-1125:1] [76:801:1] |
Generators of the group modulo torsion |
j |
87808/51 |
j-invariant |
L |
8.9562910375534 |
L(r)(E,1)/r! |
Ω |
0.52204294141619 |
Real period |
R |
2.1445292922781 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600bj1 20400p1 61200cl1 |
Quadratic twists by: -4 -3 5 |