Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210bi |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
136353220852536900 = 22 · 312 · 52 · 376 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-228195,-37953279] |
[a1,a2,a3,a4,a6] |
j |
702595369/72900 |
j-invariant |
L |
0.87959806641281 |
L(r)(E,1)/r! |
Ω |
0.21989942693408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41070bl2 90c2 |
Quadratic twists by: -3 37 |