Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200gu |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
190356480000 = 213 · 37 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-23150] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-360:1] [-31:72:1] |
Generators of the group modulo torsion |
j |
390625/102 |
j-invariant |
L |
8.997586591705 |
L(r)(E,1)/r! |
Ω |
0.73957290549336 |
Real period |
R |
0.25345671707037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650bc1 20400dx1 61200fw1 |
Quadratic twists by: -4 -3 5 |