Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400eu |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-2300313600000000 = -1 · 224 · 33 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9633,-2332863] |
[a1,a2,a3,a4,a6] |
Generators |
[199003:4690944:343] |
Generators of the group modulo torsion |
j |
-24137569/561600 |
j-invariant |
L |
5.8043547956391 |
L(r)(E,1)/r! |
Ω |
0.19930811909836 |
Real period |
R |
7.2806301391145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400cx1 15600cc1 12480cy1 |
Quadratic twists by: -4 8 5 |