Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
53100bd |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-1218071520000 = -1 · 28 · 37 · 54 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6600,-213100] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2655:1] |
Generators of the group modulo torsion |
j |
-272588800/10443 |
j-invariant |
L |
6.6288651352001 |
L(r)(E,1)/r! |
Ω |
0.26424614292366 |
Real period |
R |
1.0452478545578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700h1 53100t1 |
Quadratic twists by: -3 5 |