Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1800j |
Isogeny class |
Conductor |
1800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2125764000000000 = 211 · 312 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37875,1768750] |
[a1,a2,a3,a4,a6] |
Generators |
[374:6318:1] |
Generators of the group modulo torsion |
j |
2060602/729 |
j-invariant |
L |
2.8170963818943 |
L(r)(E,1)/r! |
Ω |
0.42544038808249 |
Real period |
R |
3.3108003621744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3600r2 14400cf2 600h2 1800v2 |
Quadratic twists by: -4 8 -3 5 |