Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39100i |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-74720588750000 = -1 · 24 · 57 · 173 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6867,351262] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:425:1] [-3:575:1] |
Generators of the group modulo torsion |
j |
143225913344/298882355 |
j-invariant |
L |
6.9126368568029 |
L(r)(E,1)/r! |
Ω |
0.42441109577589 |
Real period |
R |
0.15081108260198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7820d2 |
Quadratic twists by: 5 |