Atkin-Lehner |
2+ 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010q |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
1957977360 = 24 · 37 · 5 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315,405] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:54:1] [-2:33:1] |
Generators of the group modulo torsion |
j |
4750104241/2685840 |
j-invariant |
L |
6.3482348918468 |
L(r)(E,1)/r! |
Ω |
1.271679537169 |
Real period |
R |
2.4960041843486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670bc1 |
Quadratic twists by: -3 |