Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520x |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
36579806963302400 = 234 · 52 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86252,3222704] |
[a1,a2,a3,a4,a6] |
Generators |
[280:1012:1] |
Generators of the group modulo torsion |
j |
270701905514769/139540889600 |
j-invariant |
L |
6.0942383811809 |
L(r)(E,1)/r! |
Ω |
0.32236693266018 |
Real period |
R |
3.1507772477756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520cf1 1610b1 |
Quadratic twists by: -4 8 |