Atkin-Lehner |
2+ 3+ 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202b |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
427812851922812928 = 214 · 33 · 112 · 134 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-323607,-63403235] |
[a1,a2,a3,a4,a6] |
j |
138807977023906000875/15844920441585664 |
j-invariant |
L |
1.6132484803616 |
L(r)(E,1)/r! |
Ω |
0.20165605993829 |
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 |
59202s2 |
Quadratic twists by: -3 |