Atkin-Lehner |
2+ 3- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550ba |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
41472000 |
Modular degree for the optimal curve |
Δ |
1.8782784869119E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75520751,-142597555102] |
[a1,a2,a3,a4,a6] |
j |
3048614971085997230980321/1202098231623617356800 |
j-invariant |
L |
1.5892462118613 |
L(r)(E,1)/r! |
Ω |
0.052974787301195 |
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 |
24510m1 |
Quadratic twists by: 5 |