Atkin-Lehner |
5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50255a |
Isogeny class |
Conductor |
50255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
620928 |
Modular degree for the optimal curve |
Δ |
-81277013848517875 = -1 · 53 · 192 · 239 |
Discriminant |
Eigenvalues |
0 -2 5+ -5 -6 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2469,13717200] |
[a1,a2,a3,a4,a6] |
Generators |
[682:-18251:1] [222:5025:1] |
Generators of the group modulo torsion |
j |
11239424/549035875 |
j-invariant |
L |
3.561640957288 |
L(r)(E,1)/r! |
Ω |
0.27068441880732 |
Real period |
R |
1.644738628188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2185b1 |
Quadratic twists by: -23 |