Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600u |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-357304800000000 = -1 · 211 · 3 · 58 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84008,-9444012] |
[a1,a2,a3,a4,a6] |
Generators |
[1338:47700:1] |
Generators of the group modulo torsion |
j |
-2048994722882/11165775 |
j-invariant |
L |
6.215989286768 |
L(r)(E,1)/r! |
Ω |
0.14016754139854 |
Real period |
R |
1.8477855216251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31800g1 12720e1 |
Quadratic twists by: -4 5 |