Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
53100k |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-7838754750000 = -1 · 24 · 312 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2400,-126875] |
[a1,a2,a3,a4,a6] |
j |
8388608/43011 |
j-invariant |
L |
1.4874900586212 |
L(r)(E,1)/r! |
Ω |
0.37187251448275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17700l1 2124b1 |
Quadratic twists by: -3 5 |