Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760o |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-1001558400000 = -1 · 210 · 3 · 55 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2264,23740] |
[a1,a2,a3,a4,a6] |
Generators |
[465:10070:1] |
Generators of the group modulo torsion |
j |
1252740686684/978084375 |
j-invariant |
L |
5.3263664735006 |
L(r)(E,1)/r! |
Ω |
0.56402722325438 |
Real period |
R |
4.7217281842979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520q1 116280bb1 |
Quadratic twists by: -4 -3 |